In addition to the general pain killers and wrist/brace supports, there are special exercises that you can do. These not only help to relax the muscles but also help to decompress the nerves affected with this condition and so relieves the pain. The exercises are call Range Of Motion (ROM) exercises and you can find these for free on numerous internet sites that give information on your condition. One of my work colleagues did try these exercises and carried them out as instructed and he felt he definately got a good deal of relief from them.
What you also need to be aware of though is actions or movements that either cause CTS or aggrevates it and avoid these situations at all cost. Even although you may get pain relief, the condition is still present.