[javascript] To show error message without alert box in Java Script

You should use .value and not .innerHTML as it is a input type form element

<html>
  <head>
  <script type="text/javascript">
  function validate() {
  if(myform.fname.value.length==0)
  {
   document.getElementById("fname").value="this is invalid name ";
  }
  }
  </script>
  </head>
  <body>
  <form name="myform">
  First_Name
  <input type=text id=fname name=fname onblur="validate()"> </input>

  <br> <br>
  Last_Name
  <input type=text id=lname name=lname onblur="validate()"> </input>

  <br>
  <input type=button value=check> 

  </form>
  </body>
</html>