DVD locked inside my Sony DVP-NS975V HELP

Take the cover off and see what is keeping the drawer from optning.

Have you tried unplugging it and letting it reset?

Before you take the cover off while the machine is on just pull the plug. Wait 5 minutes and plug it back in and then try to eject it. Sometimes an electronic component gets stuck and won't finish its cycle. BUT FIRST MAKE SURE THE VOLUME IS DOWN ALL THE WAY.

It's not the movie Hostage, Ransom, or Lock Up? I would do as Rwwear mentions, if this fails place the dvd movie Negotiator in front of the player and wait a while.

I have had this happen in the past, removing the top of the unit (although different model to yours) was simple. It took no more than 5 minutes to repair.

Both times this happened, the culprit wound up being that silver ring/decal you often find centre of rented dvd's. One time it was barely peeling and wound up stuck; the other, part had come off and the gum/glue wound up attaching itself to the dvd drawer.