Biologists are unsure as to whether B-337 was injured or born with a genetic defect but she is said to be doing just fine.
A park spokesman said the bobcat kept popping up on camera traps before researchers were able to catch her and collar her, so she could be tracked.
"Bobcats catch live prey, so that means she's managing to hunt with one front leg and doing it well enough to feed herself and her kitten," biologist Joanne Moriarty said in a statement.
A video posted on YouTube shows B-337 running away after being released from a cage.
The bobcat has a kitten named B-336 who's missing an ear. He was captured a few days before his mother was caught.
Moriarty is also unsure as to why the bobcat kitten is missing an ear. She says she hopes to learn more through blood samples of both bobcats.