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You use your lower jaw to produce vibrato. Some people have a harder time than others with vibrato but a typical use for vibrato in jazz is you start the note straight (no vibrato) and then you add the vibrato, the vibrato should be slow at first and then you speed it up slightly near the end of the note. This is called "jug" vibrato in jazz circles. A good way to get control of your vibrato is to pick a scale and play each note as a long tone and start out with a slow vibrato and slowly increase the speed of it and then back to a slow vibrato. Don't make it too deep of a vibrato or it will sound awful. Tape yourself to hear what you sound like. Hope this helps.

Note that some vibrato will affect the volume and some vibrato will modulate the tone. Practice to sense and know the difference.

I know this thread is ANCIENT, but I saw it and wanted to respond because I didn't like the idea of geting vibrato with your jaw. I use my throat and I think it sounds better. I guess the best way i can describe it would be to push, then pull, then push, then pull, etc. with the air. Thats how I do it and I have tried it with my jaw also, but I like that way better. Try both ways and try your own ways and see which way works for you I guess is more important than listening to us, but give it a try and see what you think.