The new particles predicted by the topcolor-assisted technicolor (TC2) model and the littlest Higgs model with T-parity (called LHT model) can induce the lepton flavor violation (LFV) couplings at tree level or one loop level, which might generate large contributions to some LFV processes. Taking into account the constraints of the experimental data on the relevant free parameters, we calculate the branching ratios of the LFV decay processes τ −→μ − P 1 P 2 with P 1 P 2=π + π −, K + K − and in the context of these two kinds of new physics models. We find that the TC2 model and the LHT model can indeed produce significant contributions to some of these LFV decay processes.