diff --git a/src/main/java/org/java_websocket/WebSocketImpl.java b/src/main/java/org/java_websocket/WebSocketImpl.java
index 8d6464be..aad17212 100644
--- a/src/main/java/org/java_websocket/WebSocketImpl.java
+++ b/src/main/java/org/java_websocket/WebSocketImpl.java
@@ -410,6 +410,15 @@ private void decodeFrames(ByteBuffer socketBuffer) {
       log.error("Closing due to invalid data in frame", e);
       wsl.onWebsocketError(this, e);
       close(e);
+    } catch (VirtualMachineError | ThreadDeath | LinkageError e) {
+      log.error("Got fatal error during frame processing");
+      throw e;
+    } catch (Error e) {
+      log.error("Closing web socket due to an error during frame processing");
+      Exception exception = new Exception(e);
+      wsl.onWebsocketError(this, exception);
+      String errorMessage = "Got error " + e.getClass().getName();
+      close(CloseFrame.UNEXPECTED_CONDITION, errorMessage);
     }
   }
 
diff --git a/src/main/java/org/java_websocket/server/WebSocketServer.java b/src/main/java/org/java_websocket/server/WebSocketServer.java
index 11073619..6348ca4d 100644
--- a/src/main/java/org/java_websocket/server/WebSocketServer.java
+++ b/src/main/java/org/java_websocket/server/WebSocketServer.java
@@ -1079,8 +1079,20 @@ public void run() {
         }
       } catch (InterruptedException e) {
         Thread.currentThread().interrupt();
-      } catch (RuntimeException e) {
-        handleFatal(ws, e);
+      } catch (VirtualMachineError | ThreadDeath | LinkageError e) {
+        if (ws != null) {
+          ws.close();
+        }
+        log.error("Got fatal error in worker thread {}", getName());
+        Exception exception = new Exception(e);
+        handleFatal(ws, exception);
+      } catch (Throwable e) {
+        log.error("Uncaught exception in thread {}: {}", getName(), e);
+        if (ws != null) {
+          Exception exception = new Exception(e);
+          onWebsocketError(ws, exception);
+          ws.close();
+        }
       }
     }
 
diff --git a/src/test/java/org/java_websocket/issues/Issue1160Test.java b/src/test/java/org/java_websocket/issues/Issue1160Test.java
new file mode 100644
index 00000000..e456132c
--- /dev/null
+++ b/src/test/java/org/java_websocket/issues/Issue1160Test.java
@@ -0,0 +1,159 @@
+package org.java_websocket.issues;
+
+import org.java_websocket.WebSocket;
+import org.java_websocket.client.WebSocketClient;
+import org.java_websocket.handshake.ClientHandshake;
+import org.java_websocket.handshake.ServerHandshake;
+import org.java_websocket.server.WebSocketServer;
+import org.java_websocket.util.SocketUtil;
+import org.junit.Assert;
+import org.junit.Test;
+
+import java.net.InetSocketAddress;
+import java.net.URI;
+import java.nio.ByteBuffer;
+import java.util.concurrent.CountDownLatch;
+import java.util.concurrent.atomic.AtomicInteger;
+
+public class Issue1160Test {
+  private final CountDownLatch countServerStart = new CountDownLatch(1);
+
+  static class TestClient extends WebSocketClient {
+    private final CountDownLatch onCloseLatch;
+
+    public TestClient(URI uri, CountDownLatch latch) {
+      super(uri);
+      onCloseLatch = latch;
+    }
+
+    @Override
+    public void onOpen(ServerHandshake handshakedata) {
+    }
+
+    @Override
+    public void onMessage(String message) {
+    }
+
+    @Override
+    public void onClose(int code, String reason, boolean remote) {
+      onCloseLatch.countDown();
+    }
+
+    @Override
+    public void onError(Exception ex) {
+    }
+  }
+
+
+  @Test(timeout = 5000)
+  public void nonFatalErrorShallBeHandledByServer() throws Exception {
+    final AtomicInteger isServerOnErrorCalledCounter = new AtomicInteger(0);
+
+    int port = SocketUtil.getAvailablePort();
+    WebSocketServer server = new WebSocketServer(new InetSocketAddress(port)) {
+      @Override
+      public void onOpen(WebSocket conn, ClientHandshake handshake) {
+      }
+
+      @Override
+      public void onClose(WebSocket conn, int code, String reason, boolean remote) {
+      }
+
+      @Override
+      public void onMessage(WebSocket conn, ByteBuffer message) {
+        throw new Error("Some error");
+      }
+
+      @Override
+      public void onMessage(WebSocket conn, String message) {
+        throw new Error("Some error");
+      }
+
+      @Override
+      public void onError(WebSocket conn, Exception ex) {
+        isServerOnErrorCalledCounter.incrementAndGet();
+      }
+
+      @Override
+      public void onStart() {
+        countServerStart.countDown();
+      }
+    };
+
+
+    server.setConnectionLostTimeout(10);
+    server.start();
+    countServerStart.await();
+
+    URI uri = new URI("ws://localhost:" + port);
+
+    int CONNECTION_COUNT = 3;
+    for (int i = 0; i < CONNECTION_COUNT; i++) {
+      CountDownLatch countClientDownLatch = new CountDownLatch(1);
+      WebSocketClient client = new TestClient(uri, countClientDownLatch);
+      client.setConnectionLostTimeout(10);
+
+      client.connectBlocking();
+      client.send(new byte[100]);
+      countClientDownLatch.await();
+      client.closeBlocking();
+    }
+
+    Assert.assertEquals(CONNECTION_COUNT, isServerOnErrorCalledCounter.get());
+
+    server.stop();
+  }
+
+  @Test(timeout = 5000)
+  public void fatalErrorShallNotBeHandledByServer() throws Exception {
+    int port = SocketUtil.getAvailablePort();
+
+    final CountDownLatch countServerDownLatch = new CountDownLatch(1);
+    WebSocketServer server = new WebSocketServer(new InetSocketAddress(port)) {
+      @Override
+      public void onOpen(WebSocket conn, ClientHandshake handshake) {
+      }
+
+      @Override
+      public void onClose(WebSocket conn, int code, String reason, boolean remote) {
+        countServerDownLatch.countDown();
+      }
+
+      @Override
+      public void onMessage(WebSocket conn, ByteBuffer message) {
+        throw new OutOfMemoryError("Some error");
+      }
+
+      @Override
+      public void onMessage(WebSocket conn, String message) {
+        throw new OutOfMemoryError("Some error");
+      }
+
+      @Override
+      public void onError(WebSocket conn, Exception ex) {
+      }
+
+      @Override
+      public void onStart() {
+        countServerStart.countDown();
+      }
+    };
+
+
+    server.setConnectionLostTimeout(10);
+    server.start();
+    countServerStart.await();
+
+    URI uri = new URI("ws://localhost:" + port);
+
+    CountDownLatch countClientDownLatch = new CountDownLatch(1);
+    WebSocketClient client = new TestClient(uri, countClientDownLatch);
+    client.setConnectionLostTimeout(10);
+
+    client.connectBlocking();
+    client.send(new byte[100]);
+    countClientDownLatch.await();
+    countServerDownLatch.await();
+    Assert.assertTrue(countClientDownLatch.getCount() == 0 && countServerDownLatch.getCount() == 0);
+  }
+}