How to operate two or many gameobjects present on Screen?

I have many gameobjects on my screen and want to operate them uniquely. (Using click or touch)
The problem, currently I am facing is that when I move any of gameobject it will also change the position of the other gameObjects.

No one can help you unless you post your code and inspector. But if you want each object to behave differently then they either each need a unique script or you need one script to manage it all that has references to each object.