We exhibit a mechanism which dynamically adjusts cosmological constant toward
$0^+$. The adjustment is quantum-mechanical, discharging cosmological constant
in random discrete steps. It renders de Sitter space unstable, and triggers its
decay toward Minkowski. Since the instability dynamically stops at $\Lambda =
0$, the evolution favors the terminal Minkowski space without a need for
anthropics. The mechanism works for any QFT coupled to gravity.