Its not possible to update the ASP controls in a web method.
since you are passing the value from ajax and updating the label without any logic, you shall update the label in the client side itself
document.getElementById("LabelID").innerHTML = 'Some Value';
or if you want to perfrom some logic, then return the value in web method and update the same in success method of ajax call.
Note:
Its not possible to use Non static members inside a Static method.