diff --git a/doc/src/sgml/ref/pg_receivewal.sgml b/doc/src/sgml/ref/pg_receivewal.sgml
index 4fe9e1a874..5f83ba1893 100644
--- a/doc/src/sgml/ref/pg_receivewal.sgml
+++ b/doc/src/sgml/ref/pg_receivewal.sgml
@@ -118,8 +118,9 @@ PostgreSQL documentation
 
   <para>
    In the absence of fatal errors, <application>pg_receivewal</application>
-   will run until terminated by the <systemitem>SIGINT</systemitem> signal
-   (<keycombo action="simul"><keycap>Control</keycap><keycap>C</keycap></keycombo>).
+   will run until terminated by the <systemitem>SIGINT</systemitem>
+   (<keycombo action="simul"><keycap>Control</keycap><keycap>C</keycap></keycombo>)
+   or <systemitem>SIGTERM</systemitem> signal.
   </para>
  </refsect1>
 
@@ -457,7 +458,8 @@ PostgreSQL documentation
 
   <para>
    <application>pg_receivewal</application> will exit with status 0 when
-   terminated by the <systemitem>SIGINT</systemitem> signal.  (That is the
+   terminated by the <systemitem>SIGINT</systemitem> or
+   <systemitem>SIGTERM</systemitem> signal.  (That is the
    normal way to end it.  Hence it is not an error.)  For fatal errors or
    other signals, the exit status will be nonzero.
   </para>
diff --git a/doc/src/sgml/ref/pg_recvlogical.sgml b/doc/src/sgml/ref/pg_recvlogical.sgml
index 1a88225409..6d75b6fa4c 100644
--- a/doc/src/sgml/ref/pg_recvlogical.sgml
+++ b/doc/src/sgml/ref/pg_recvlogical.sgml
@@ -46,6 +46,13 @@ PostgreSQL documentation
     a slot without consuming it, use
    <link linkend="functions-replication"><function>pg_logical_slot_peek_changes</function></link>.
   </para>
+
+  <para>
+   In the absence of fatal errors, <application>pg_recvlogical</application>
+   will run until terminated by the <systemitem>SIGINT</systemitem>
+   (<keycombo action="simul"><keycap>Control</keycap><keycap>C</keycap></keycombo>)
+   or <systemitem>SIGTERM</systemitem> signal.
+  </para>
  </refsect1>
 
  <refsect1>
@@ -407,6 +414,17 @@ PostgreSQL documentation
    </para>
  </refsect1>
 
+ <refsect1>
+  <title>Exit Status</title>
+  <para>
+   <application>pg_recvlogical</application> will exit with status 0 when
+   terminated by the <systemitem>SIGINT</systemitem> or
+   <systemitem>SIGTERM</systemitem> signal.  (That is the
+   normal way to end it.  Hence it is not an error.)  For fatal errors or
+   other signals, the exit status will be nonzero.
+  </para>
+ </refsect1>
+
  <refsect1>
   <title>Environment</title>
 
diff --git a/src/bin/pg_basebackup/pg_receivewal.c b/src/bin/pg_basebackup/pg_receivewal.c
index a6e3387a6d..37c14d1a02 100644
--- a/src/bin/pg_basebackup/pg_receivewal.c
+++ b/src/bin/pg_basebackup/pg_receivewal.c
@@ -45,7 +45,7 @@ static int	verbose = 0;
 static int	compresslevel = 0;
 static int	noloop = 0;
 static int	standby_message_timeout = 10 * 1000;	/* 10 sec = default */
-static volatile bool time_to_stop = false;
+static volatile sig_atomic_t time_to_stop = false;
 static bool do_create_slot = false;
 static bool slot_exists_ok = false;
 static bool do_drop_slot = false;
@@ -673,13 +673,13 @@ StreamLog(void)
 }
 
 /*
- * When sigint is called, just tell the system to exit at the next possible
- * moment.
+ * When SIGINT/SIGTERM are caught, just tell the system to exit at the next
+ * possible moment.
  */
 #ifndef WIN32
 
 static void
-sigint_handler(int signum)
+sigexit_handler(int signum)
 {
 	time_to_stop = true;
 }
@@ -905,7 +905,8 @@ main(int argc, char **argv)
 	 * if one is needed, in GetConnection.)
 	 */
 #ifndef WIN32
-	pqsignal(SIGINT, sigint_handler);
+	pqsignal(SIGINT, sigexit_handler);
+	pqsignal(SIGTERM, sigexit_handler);
 #endif
 
 	/*
diff --git a/src/bin/pg_basebackup/pg_recvlogical.c b/src/bin/pg_basebackup/pg_recvlogical.c
index 2a4c8b130a..a86739ec12 100644
--- a/src/bin/pg_basebackup/pg_recvlogical.c
+++ b/src/bin/pg_basebackup/pg_recvlogical.c
@@ -650,11 +650,11 @@ error:
 #ifndef WIN32
 
 /*
- * When sigint is called, just tell the system to exit at the next possible
- * moment.
+ * When SIGINT/SIGTERM are caught, just tell the system to exit at the next
+ * possible moment.
  */
 static void
-sigint_handler(int signum)
+sigexit_handler(int signum)
 {
 	time_to_abort = true;
 }
@@ -922,7 +922,8 @@ main(int argc, char **argv)
 	 * if one is needed, in GetConnection.)
 	 */
 #ifndef WIN32
-	pqsignal(SIGINT, sigint_handler);
+	pqsignal(SIGINT, sigexit_handler);
+	pqsignal(SIGTERM, sigexit_handler);
 	pqsignal(SIGHUP, sighup_handler);
 #endif