Picture This -- Paris Burglar Caught on Tape

This could be the most exciting Paris Hilton video since ... well, you know.

We've learned the person who broke into Paris Hilton's house last week and allegedly made off with $2 mil in stuff actually was caught on tape by surveillance cams. One problem -- the thief was wearing a mask, gloves, and a hooded sweatshirt.

By the way, one of the surveillance cams is in Paris' closet.

Cops still don't have a suspect.