--- src/bin/psql/tab-complete.c
+++ src/bin/psql/tab-complete.c
@@ -1714,6 +1736,12 @@ psql_completion(const char *text, int start, int end)
 	/* ALTER PUBLICATION <name> ADD */
 	else if (Matches("ALTER", "PUBLICATION", MatchAny, "ADD"))
 		COMPLETE_WITH("ALL TABLES IN SCHEMA", "TABLE");
+	else if (Matches("ALTER", "PUBLICATION", MatchAny, "ADD|SET", "TABLE") ||
+			 (HeadMatches("ALTER", "PUBLICATION", MatchAny, "ADD|SET", "TABLE") &&
+			  ends_with(prev_wd, ',')))
+		COMPLETE_WITH_SCHEMA_QUERY(Query_for_list_of_tables, NULL);
+	else if (HeadMatches("ALTER", "PUBLICATION", MatchAny, "ADD|SET", "TABLE"))
+		COMPLETE_WITH(",");
 	/* ALTER PUBLICATION <name> DROP */
 	else if (Matches("ALTER", "PUBLICATION", MatchAny, "DROP"))
 		COMPLETE_WITH("ALL TABLES IN SCHEMA", "TABLE");