[KoKr]

В js я совсем новичек, вот такой вот код получился)

<form>
<input type="date"   id="calendarForTasks">
</form>
<script type="text/javascript">


function showCurrentDate()
{

    var getCurrentDay = new Date();

    var year = getCurrentDay.getFullYear();

    var month = '';
    var month1 = getCurrentDay.getMonth() + 1; 
     if(month1 < 10){
    	month = '0' + month1  ;
    }else{
    	month = month1;
    }

    var day = '';
    if(getCurrentDay.getDate() < 10){
    	day = '0' + getCurrentDay.getDate();
    }
    else{
    	day = getCurrentDay.getDate();
    }

    var value1 = year + "-" + month + "-" + day ;

    value1.toString();
     

    var valueOld = document.getElementById("calendarForTasks");

    valueOld.setAttribute('value', value1);

}
showCurrentDate();

</script>