diff --git a/release-notes/VERSION-2.x b/release-notes/VERSION-2.x
index c9097a2c05..f81bbf1878 100644
--- a/release-notes/VERSION-2.x
+++ b/release-notes/VERSION-2.x
@@ -9,6 +9,7 @@ Project: jackson-databind
 #4508: Deserialized JsonAnySetter field in Kotlin data class is null
  (reported by @MaximValeev)
  (fix by Joo-Hyuk K)
+#4718: Should not fail on trying to serialize `java.time.DateTimeException`
 
 2.18.0 (26-Sep-2024)
 
diff --git a/src/main/java/com/fasterxml/jackson/databind/util/BeanUtil.java b/src/main/java/com/fasterxml/jackson/databind/util/BeanUtil.java
index bb355cc670..0132c293b3 100644
--- a/src/main/java/com/fasterxml/jackson/databind/util/BeanUtil.java
+++ b/src/main/java/com/fasterxml/jackson/databind/util/BeanUtil.java
@@ -304,6 +304,10 @@ public static String checkUnsupportedType(JavaType type) {
             if (className.indexOf('.', 10) >= 0) {
                 return null;
             }
+            // [databind#4718]: Also don't worry about Exception type(s)
+            if (type.isTypeOrSubTypeOf(Throwable.class)) {
+                return null;
+            }
             typeName =  "Java 8 date/time";
             moduleName = "com.fasterxml.jackson.datatype:jackson-datatype-jsr310";
         } else if (isJodaTimeClass(className)) {
diff --git a/src/test/java/com/fasterxml/jackson/databind/interop/DateJava8FallbacksTest.java b/src/test/java/com/fasterxml/jackson/databind/interop/DateJava8FallbacksTest.java
index 615b762f45..3aa2a5d261 100644
--- a/src/test/java/com/fasterxml/jackson/databind/interop/DateJava8FallbacksTest.java
+++ b/src/test/java/com/fasterxml/jackson/databind/interop/DateJava8FallbacksTest.java
@@ -1,5 +1,6 @@
 package com.fasterxml.jackson.databind.interop;
 
+import java.time.DateTimeException;
 import java.time.Instant;
 import java.time.OffsetDateTime;
 import java.time.ZoneId;
@@ -84,4 +85,19 @@ public void testAllowAsEmbedded() throws Exception
             }
         }
     }
+
+    // [databind#4718]: should not block serialization of `DateTimeException`
+    @Test
+    public void testAllowExceptionSer() throws Exception {
+        String json = MAPPER.writeValueAsString(new DateTimeException("Test!"));
+        assertTrue(MAPPER.readTree(json).isObject());
+    }
+
+    // [databind#4718]: should not block deserialization of `DateTimeException`
+    @Test
+    public void testAllowExceptionDeser() throws Exception {
+        DateTimeException exc = MAPPER.readValue("{\"message\":\"test!\"}",
+                DateTimeException.class);
+        assertNotNull(exc);
+    }
 }