Safety officials say a latch on the frame holding the stroller in place can come undone.
The Consumer Product Safety Commission says in one incident two children got scrapes and bruises when their stroller hit a curb and collapsed on them.
Zooper is giving customers special straps to hold the latches in place.
The affected models were sold in 2007 and 2008 and cost about $400.
For more information, please visit www.cpsc.gov/cpscpub/prerel/prhtml10/10321.html.