diff --git a/target/arm/Makefile.objs b/target/arm/Makefile.objs
index cf26c16f5f..775b3e24f2 100644
--- a/target/arm/Makefile.objs
+++ b/target/arm/Makefile.objs
@@ -18,6 +18,21 @@ target/arm/decode-sve.inc.c: $(SRC_PATH)/target/arm/sve.decode $(DECODETREE)
 	  $(PYTHON) $(DECODETREE) --decode disas_sve -o $@ $<,\
 	  "GEN", $(TARGET_DIR)$@)
 
+target/arm/decode-neon-shared.inc.c: $(SRC_PATH)/target/arm/neon-shared.decode $(DECODETREE)
+	$(call quiet-command,\
+	  $(PYTHON) $(DECODETREE) --static-decode disas_neon_shared -o $@ $<,\
+	  "GEN", $(TARGET_DIR)$@)
+
+target/arm/decode-neon-dp.inc.c: $(SRC_PATH)/target/arm/neon-dp.decode $(DECODETREE)
+	$(call quiet-command,\
+	  $(PYTHON) $(DECODETREE) --static-decode disas_neon_dp -o $@ $<,\
+	  "GEN", $(TARGET_DIR)$@)
+
+target/arm/decode-neon-ls.inc.c: $(SRC_PATH)/target/arm/neon-ls.decode $(DECODETREE)
+	$(call quiet-command,\
+	  $(PYTHON) $(DECODETREE) --static-decode disas_neon_ls -o $@ $<,\
+	  "GEN", $(TARGET_DIR)$@)
+
 target/arm/decode-vfp.inc.c: $(SRC_PATH)/target/arm/vfp.decode $(DECODETREE)
 	$(call quiet-command,\
 	  $(PYTHON) $(DECODETREE) --static-decode disas_vfp -o $@ $<,\
@@ -49,6 +64,9 @@ target/arm/decode-t16.inc.c: $(SRC_PATH)/target/arm/t16.decode $(DECODETREE)
 	  "GEN", $(TARGET_DIR)$@)
 
 target/arm/translate-sve.o: target/arm/decode-sve.inc.c
+target/arm/translate.o: target/arm/decode-neon-shared.inc.c
+target/arm/translate.o: target/arm/decode-neon-dp.inc.c
+target/arm/translate.o: target/arm/decode-neon-ls.inc.c
 target/arm/translate.o: target/arm/decode-vfp.inc.c
 target/arm/translate.o: target/arm/decode-vfp-uncond.inc.c
 target/arm/translate.o: target/arm/decode-a32.inc.c
diff --git a/target/arm/neon-dp.decode b/target/arm/neon-dp.decode
new file mode 100644
index 0000000000..c89a1a5859
--- /dev/null
+++ b/target/arm/neon-dp.decode
@@ -0,0 +1,29 @@
+# AArch32 Neon data-processing instruction descriptions
+#
+#  Copyright (c) 2020 Linaro, Ltd
+#
+# This library is free software; you can redistribute it and/or
+# modify it under the terms of the GNU Lesser General Public
+# License as published by the Free Software Foundation; either
+# version 2 of the License, or (at your option) any later version.
+#
+# This library is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+# Lesser General Public License for more details.
+#
+# You should have received a copy of the GNU Lesser General Public
+# License along with this library; if not, see <http://www.gnu.org/licenses/>.
+
+#
+# This file is processed by scripts/decodetree.py
+#
+
+# Encodings for Neon data processing instructions where the T32 encoding
+# is a simple transformation of the A32 encoding.
+# More specifically, this file covers instructions where the A32 encoding is
+#   0b1111_001p_qqqq_qqqq_qqqq_qqqq_qqqq_qqqq
+# and the T32 encoding is
+#   0b111p_1111_qqqq_qqqq_qqqq_qqqq_qqqq_qqqq
+# This file works on the A32 encoding only; calling code for T32 has to
+# transform the insn into the A32 version first.
diff --git a/target/arm/neon-ls.decode b/target/arm/neon-ls.decode
new file mode 100644
index 0000000000..2b16c9256d
--- /dev/null
+++ b/target/arm/neon-ls.decode
@@ -0,0 +1,29 @@
+# AArch32 Neon load/store instruction descriptions
+#
+#  Copyright (c) 2020 Linaro, Ltd
+#
+# This library is free software; you can redistribute it and/or
+# modify it under the terms of the GNU Lesser General Public
+# License as published by the Free Software Foundation; either
+# version 2 of the License, or (at your option) any later version.
+#
+# This library is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+# Lesser General Public License for more details.
+#
+# You should have received a copy of the GNU Lesser General Public
+# License along with this library; if not, see <http://www.gnu.org/licenses/>.
+
+#
+# This file is processed by scripts/decodetree.py
+#
+
+# Encodings for Neon load/store instructions where the T32 encoding
+# is a simple transformation of the A32 encoding.
+# More specifically, this file covers instructions where the A32 encoding is
+#   0b1111_0100_xxx0_xxxx_xxxx_xxxx_xxxx_xxxx
+# and the T32 encoding is
+#   0b1111_1001_xxx0_xxxx_xxxx_xxxx_xxxx_xxxx
+# This file works on the A32 encoding only; calling code for T32 has to
+# transform the insn into the A32 version first.
diff --git a/target/arm/neon-shared.decode b/target/arm/neon-shared.decode
new file mode 100644
index 0000000000..3aea7c5e18
--- /dev/null
+++ b/target/arm/neon-shared.decode
@@ -0,0 +1,27 @@
+# AArch32 Neon instruction descriptions
+#
+#  Copyright (c) 2020 Linaro, Ltd
+#
+# This library is free software; you can redistribute it and/or
+# modify it under the terms of the GNU Lesser General Public
+# License as published by the Free Software Foundation; either
+# version 2 of the License, or (at your option) any later version.
+#
+# This library is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+# Lesser General Public License for more details.
+#
+# You should have received a copy of the GNU Lesser General Public
+# License along with this library; if not, see <http://www.gnu.org/licenses/>.
+
+#
+# This file is processed by scripts/decodetree.py
+#
+
+# Encodings for Neon instructions whose encoding is the same for
+# both A32 and T32.
+
+# More specifically, this covers:
+# 2reg scalar ext: 0b1111_1110_xxxx_xxxx_xxxx_1x0x_xxxx_xxxx
+# 3same ext:       0b1111_110x_xxxx_xxxx_xxxx_1x0x_xxxx_xxxx
diff --git a/target/arm/translate-neon.inc.c b/target/arm/translate-neon.inc.c
new file mode 100644
index 0000000000..a33e81ba3a
--- /dev/null
+++ b/target/arm/translate-neon.inc.c
@@ -0,0 +1,32 @@
+/*
+ *  ARM translation: AArch32 Neon instructions
+ *
+ *  Copyright (c) 2003 Fabrice Bellard
+ *  Copyright (c) 2005-2007 CodeSourcery
+ *  Copyright (c) 2007 OpenedHand, Ltd.
+ *  Copyright (c) 2020 Linaro, Ltd.
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public
+ * License as published by the Free Software Foundation; either
+ * version 2 of the License, or (at your option) any later version.
+ *
+ * This library is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+ * Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this library; if not, see <http://www.gnu.org/licenses/>.
+ */
+
+/*
+ * This file is intended to be included from translate.c; it uses
+ * some macros and definitions provided by that file.
+ * It might be possible to convert it to a standalone .c file eventually.
+ */
+
+/* Include the generated Neon decoder */
+#include "decode-neon-dp.inc.c"
+#include "decode-neon-ls.inc.c"
+#include "decode-neon-shared.inc.c"
diff --git a/target/arm/translate.c b/target/arm/translate.c
index 4cf5267be0..5a82a56e8e 100644
--- a/target/arm/translate.c
+++ b/target/arm/translate.c
@@ -1313,8 +1313,9 @@ static TCGv_ptr vfp_reg_ptr(bool dp, int reg)
 
 #define ARM_CP_RW_BIT   (1 << 20)
 
-/* Include the VFP decoder */
+/* Include the VFP and Neon decoders */
 #include "translate-vfp.inc.c"
+#include "translate-neon.inc.c"
 
 static inline void iwmmxt_load_reg(TCGv_i64 var, int reg)
 {
@@ -10949,7 +10950,10 @@ static void disas_arm_insn(DisasContext *s, unsigned int insn)
         /* Unconditional instructions.  */
         /* TODO: Perhaps merge these into one decodetree output file.  */
         if (disas_a32_uncond(s, insn) ||
-            disas_vfp_uncond(s, insn)) {
+            disas_vfp_uncond(s, insn) ||
+            disas_neon_dp(s, insn) ||
+            disas_neon_ls(s, insn) ||
+            disas_neon_shared(s, insn)) {
             return;
         }
         /* fall back to legacy decoder */
@@ -11102,6 +11106,33 @@ static void disas_thumb2_insn(DisasContext *s, uint32_t insn)
         ARCH(6T2);
     }
 
+    if ((insn & 0xef000000) == 0xef000000) {
+        /*
+         * T32 encodings 0b111p_1111_qqqq_qqqq_qqqq_qqqq_qqqq_qqqq
+         * transform into
+         * A32 encodings 0b1111_001p_qqqq_qqqq_qqqq_qqqq_qqqq_qqqq
+         */
+        uint32_t a32_insn = (insn & 0xe2ffffff) |
+            ((insn & (1 << 28)) >> 4) | (1 << 28);
+
+        if (disas_neon_dp(s, a32_insn)) {
+            return;
+        }
+    }
+
+    if ((insn & 0xff100000) == 0xf9000000) {
+        /*
+         * T32 encodings 0b1111_1001_ppp0_qqqq_qqqq_qqqq_qqqq_qqqq
+         * transform into
+         * A32 encodings 0b1111_0100_ppp0_qqqq_qqqq_qqqq_qqqq_qqqq
+         */
+        uint32_t a32_insn = (insn & 0x00ffffff) | 0xf4000000;
+
+        if (disas_neon_ls(s, a32_insn)) {
+            return;
+        }
+    }
+
     /*
      * TODO: Perhaps merge these into one decodetree output file.
      * Note disas_vfp is written for a32 with cond field in the
@@ -11109,6 +11140,7 @@ static void disas_thumb2_insn(DisasContext *s, uint32_t insn)
      */
     if (disas_t32(s, insn) ||
         disas_vfp_uncond(s, insn) ||
+        disas_neon_shared(s, insn) ||
         ((insn >> 28) == 0xe && disas_vfp(s, insn))) {
         return;
     }