The incident happened just after 4 .m. at a house on St. Cloud Avenue in West Orange.
Here's an image showing a wider view of the scene:
A spokeswoman for West Orange said the crane was being used by a tree removal company, and the operator was trapped inside. He has since been rescued.
The operator suffered a broken leg and large cut on his back.
The crane took down several primary power lines when it fell over.
There are no other reports of injuries.