HTML Code

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="utf-8">
  <title>trigger mousemove</title>
  <style>
    body { font-family: sans-serif; padding: 16px; }
    #target { padding: 12px 20px; background: #10b981; color: #fff; display: inline-block; margin-right: 8px; border-radius: 6px; cursor: crosshair; user-select: none; }
    #other { padding: 12px 20px; background: #6366f1; color: #fff; border: none; border-radius: 6px; cursor: pointer; }
    #log { margin-top: 12px; color: #047857; font-size: 13px; max-width: 480px; max-height: 180px; overflow-y: auto; line-height: 1.5; }
    #log p { margin: 2px 0; }
  </style>
</head>
<body>
  <div id="target">Target</div>
  <button type="button" id="other">Trigger the handler</button>
  <div id="log"><p>Move over Target or click the button.</p></div>
  <script src="https://code.jquery.com/jquery-3.7.1.min.js"></script>
  <script>
    $("#target").on("mousemove", function(event) {
      var msg = "Handler for mousemove called at " + event.pageX + ", " + event.pageY;
      $("#log").append("<p>" + msg + "</p>");
    });
    $("#other").on("click", function() {
      $("#target").trigger("mousemove");
    });
  </script>
</body>
</html>

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jQuery mousemove event — trigger from #other (Try It)