A closure latch assembly for a vehicle door includes a latch mechanism and a lock mechanism. The lock mechanism includes a lock link pivotable between unlock and lock positions, and dual cam arrangement which functions in coordination with rotation of a power lock gear to establish a first locked state where a first cam holds the lock link its lock position and a second locked state where a second cam holds the lock link in its lock position. An unlocked state is established when neither of the first and second cams engage the lock link in its unlock position.