The state Health Department announced Wednesday Compassionate Care Centers of America Foundation, Inc., in Woodbridge can start.
It would be the first dispensary in the central part of the state.
New Jersey legalized cannabis for patients with certain conditions in 2010, but the program has been slow to take root.
Only one dispensary, Greenleaf Compassion Center in Montclair, has opened so far. But it's been closed since June because of a supply shortage.
Compassionate Care Foundation in Egg Harbor Township is growing marijuana and expects to open in September.
Three other groups were chosen by the state to sell pot legally.