Jensen ran after the man and was able to pull a purse out of the passenger side of the car as the attempted thief fled -- leaving the package behind on the sidewalk.
"Apparently, I was a little bit faster," Jensen told KRON-TV.
The incident was recorded from four different angles by Jensen's security cameras.
Jensen said he turned the purse over to investigators.
Concord police Cpl. Christopher Blakely said he does not recommend other residents follow Jensen's example.
"That is very dangerous," he said. "For safety reasons, I always recommend calling the police."
Concord police said a recent spike in package thefts in the area may be related to the release of Apple's latest iPhone.