  The quantum behavior of noncommutative eternal inflation is quite different
from the usual knowledge. Unlike the usual eternal inflation, the quantum
fluctuation of noncommutative eternal inflation is suppressed by the Hubble
parameter. Due to this, we need to reconsider many conceptions of eternal
inflation. In this paper we study the Hawking-Moss tunneling in noncommutative
eternal inflation using the stochastic approach. We obtain a brand-new form of
the tunneling probability for this process and find that the Hawking-Moss
tunneling is more unlikely to take place in the noncommutative case than in the
usual one. We also conclude that the lifetime of a metastable de-Sitter (dS)
vacuum in the noncommutative spacetime is longer than that in the commutative
case.
