diff --git a/implementations/micrometer-registry-statsd/src/main/java/io/micrometer/statsd/StatsdMeterRegistry.java b/implementations/micrometer-registry-statsd/src/main/java/io/micrometer/statsd/StatsdMeterRegistry.java
index 38ae382c6e..3ba437cc93 100644
--- a/implementations/micrometer-registry-statsd/src/main/java/io/micrometer/statsd/StatsdMeterRegistry.java
+++ b/implementations/micrometer-registry-statsd/src/main/java/io/micrometer/statsd/StatsdMeterRegistry.java
@@ -161,7 +161,11 @@ private <M extends Meter> void removePollableMeter(M m) {
 
     void poll() {
         for (StatsdPollable pollableMeter : pollableMeters.values()) {
-            pollableMeter.poll();
+            try {
+                pollableMeter.poll();
+            } catch (RuntimeException e) {
+                // Silently ignore misbehaving pollable meter
+            }
         }
     }