Ниже оставил готовый скрипт.

<div id="timer"></div>

<script>
 window.onload = time();

 function time() {
  timeend = new Date();
  timeend = new Date(timeend.getYear() > 1900 ? (timeend.getYear() + 1) : (timeend.getYear() + 1901), 0, 1);
  today = new Date();
  today = Math.floor((timeend-today) / 1000);
  timestr="Before the new " + (new Date().getYear() + 1901) + " year, there are: " + today + " seconds";
  document.getElementById('timer').innerHTML = timestr;
  window.setTimeout("time()", 1000);
 }
</script>