The Consumer Product Safety Commission says the side-to-side shifting of the hammock can cause an infant to become trapped and suffocate.
The beds are marketed to parents of fussy babies who have colic or reflux. There is only one model of the bed. It has the phrase "Amby babies love it naturally" sewn into the hammock.
You should stop using these beds immediately.
For more information visit: http://www.cpsc.gov/cpscpub/prerel/prhtml10/10056.html