Partial-order methods make it possible to check properties of a concurrent system by state-space exploration without considering all interleavings of independent concurrent events. They have been applied to linear-time model checking, but so far only limited results are known about their applicability to branching-time model checking. In this paper, we introduce a general technique for lifting partial-order methods from linear-time to branching-time logics. This technique is shown to be applicable both to reductions that are applied to the structure representing the program before running the model checking procedure, as well as to reductions that can be obtained when model checking is done in an automata-theoretic framework. The latter are extended to branching-time logics by using the model-checking framework based on alternating automata introduced by O. Bernholtz et al. (1994).