I get the same thing mate, its mostly a strain of not being used to have your hand in that position.
Remember to warm up slowly before you play and try not to give Chords the deathgrip that alot of early guitarists do, where they hold on far more tightly than necessary.
Also try and ensure your hand position is good for you and not feeling uncomfortable by just having your hand in the position of the chord.
Which particular chords are you having an issue with?
Is it standard open position chords or is this Barre Chords?
What guitar do you have?