Date format in javascript :- Date.parse()

Actually, Date.parse is not what you were looking for. It returns a timestamp integer value. You want new Date(string) constructor, which builds a Date JavaScript object:

document.body.innerText = new Date('01/01/2016').toString();

However, JavaScript does work with mm/dd/yyyy format by default.
For parsing dd/mm/yyyy you will have to implement your own parser using String.prototype.split and new Date(year, zeroBasedMonth, day) constructor:

function parseDdmmyyyy(str)
{
  var parts = str.split('/');
  return new Date(parts[2], parts[1] - 1, parts[0]); 
}

document.body.innerText = parseDdmmyyyy('24/11/2015');

Date.parse need a string parameter:

Date.parse("11/01/2015")

This line give you a TimeStamp

But to get a valid date you need to pass the format MM-DD-YYYY

So split the string and transform the format like :

var date = "11/01/2015".split("/");
var goodDate = date[1] + "-" + date[0] + "-" + date[2]

After you can use the Date object like :

var obDate = new Date.parse(goodDate);

With the object, you can get the month/day/year separately :

var day = obDate.getDate(); // Get the day 
var month = obDate.getMonth() + 1; // The month start to zero
var year = obDate.getFullYear();// Get the year 

console.log( day + "/" + month + "/" year );