Interesting that MongoDB has, at time of writing, more than 4 times the users of CouchDB. Both are document-based and have a JavaScript query language. MongoDB came out last year and CouchDB in 2005.
I'd say both gave me exactly what I needed at different times, and so I recommend both projects highly, depending on what you need. CouchDB is an excellent tool to quickly "mock up" a live back end, and a great way to learn hands on with document stores with very little upfront effort required. MongoDB seems to integrate better as part of a larger system, and provides more flexibility.
Because the #1 goal is reliability, we've hesitated to recommend production use, until the most recent release (0.11). CouchDB 1.0 ships this summer, and is definitely a safe place to put your data.