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The H\"older continuity of the solution to a nonlinear stochastic partialdifferential equation arising from one dimensional super process is obtained.It is proved that the H\"older exponent in time variable is as close as to 1/4,improving the result of 1/10 in a recent paper by Li et al [3]. The method isto use the Malliavin calculus. The H\"older continuity in spatial variable x ofexponent 1/2 is also obtained by using this new approach. This H\"oldercontinuity result is sharp since the corresponding linear heat equation has thesame H\"older continuity.

H\"{o}lder Continuity of the Solution for a Class of Nonlinear SPDE Arising from One Dimensional Superprocesses