Police on the ground later engaged the two kidnappers, killing one and freeing the two captives, both of whom are engineers.
Police chief Luis Karabin blamed the weather for the early morning crash on the outskirts of Caracas.
Venezuelan TV broadcast footage of the site, with thick columns of smoke rising from scrubland beside the highway where the chopper went down.
Before joining the chase, the helicopter had been on a surveillance mission as part of a new anti-crime initiative launched by President Nicolas Maduro, who was elected in April to succeed the late Hugo Chavez.
