[Solved] I want to make Javascript object dynamic

At first your code: var obj = {["Value1"]: "Value2"}; is wrong. You have to write:
var obj = {"Value1": "Value2"}; or var obj = {Value1: "Value2"};.

And then if I understood you correctly: in your comment you wrote:

I wana get Value1 in double quotes too dynamic means I want dynamic index too in double quotes

The answer:

Object {Value1:"Value2"} is the same like {"Value1":"Value2"}. The difference is to see in displaying (spelling, writing) of your code only.

For example you will not see the difference if you execute following code:

var myObj1 = {"Value1":"Value2"};
var myObj2 = {Value1:"Value2"};

console.log(myObj1.Value1); //Value2
console.log(myObj2.Value1); //Value2

console.log(myObj1["Value1"]); //Value2
console.log(myObj2["Value1"]); //Value2

console.log(JSON.stringify(myObj1)); //{"Value1":"Value2"}
console.log(JSON.stringify(myObj2)); //{"Value1":"Value2"}