By kicking, do you mean he kicks out when you squeeze him forwards into trot? This could either be because he is very sensitive or perhaps his saddle does not fit correctly. Saddles which do not correctly fit can pinch a horse, so they react by either biting at the sensitive area, rushing off (due to the irritation) or tend to kick out as a result.
If he's physically fine and his saddle fits fine, then he'll be kicking out as a protest to moving forwards, or because he's receiving confusing signals from his rider.
If he rushes, bring him back to walk, circle him and transition forwards to trot until he eventually trots nicely with balance. Balance will require collection through half halting and going straight. Unbalanced horses rush a lot since it helps them keep their balance. Ensure you are not knocking his balance by making sure you're sat tall, your leg is well balanced and that you are not pulling on his mouth.
Circles and direct transitions really help if he's rushing. Tight circles will make him re-balance himself and slow.
First of all, you need to make sure that your demands are well balanced. Indeed, if you ask your horse too hard, he will react strongly.
Then, when he run off, don't lose your temper and stay calm, ask him to slow down with your hands and above all you back and seat. Do a lot of simple exercises to keep him concentrate.