Do Zen Buddhist believe in Reincarnation?

Answer 1

Yes & No

Taisen Deshimaru, Zen Master & the New Orleans Zen Temple said that Belief in Reincarnation is unimportant.

Only Zazen is important.

I don't think that Zen Buddhist spent much time investigating or thinking about Reincarnation.

Most anyone can attend the New Orleans Zen Temple for a limited time or retreat.

there website is www.nozen.org . . .

Tibetan Buddhist are conditioned from birth that we have had a previous life and will reincarnate.

Belief in Reincarnation has good evidence from the University of Virginia & the 40 years work of Dr. Ian Steveson.

Answer 2

Yes, but it is important to distinguish rebirth from reincarnation.

The word "rebirth" refers to the moment-to-moment continuity that we experience throughout our lives. Except that it is difficult to understand, there's nothing controversial about it.

The word "reincarnation" refers to lifetime-to-lifetime continuity that some people believe is possible to experience. This is a controversial topic. There is no necessity for buddhists of any kind to believe in reincarnation.

Actually, the Buddha did not talk about reincarnation. His primary focus was on reducing suffering. Believing or not believing in reincarnation is irrelevant to reducing suffering, so he maintained a noble silence about it.