Eye pain relieved with eye movement

I work as a software engineer.. so due to the eye strain, quite a lot of times there is pain when I move my eyes. 

It seems like looking/staring kind of stops the eye movement.. at least in my case.  When this happens I also noticed that my eyes feel hard - so can it be that the pressure increases if the eyes do not move? I surely think so. So the best way to get rid of the pain is to move the eyes a lot.. in all directions.. try to trace any object, letter, numbers, anything .. I did this for around 30 minutes yesterday and my eyes felt a whole lot better last night as well as today in the morning. They felt softer too. Will remember to do this whenever this happens again.