We investigate the effect of quantum decoherence and relaxation in neutrino oscillations using MINOS and T2K data. The formalism of open quantum systems is used describe the interaction of a neutrino system with the environment, where the strength of the interaction is regulated by a decoherence parameter Γ. We assume an energy dependence parameterized by Γ = γ 0 (E/GeV) n , with n = −2, 0, +2, and study three different scenarios. The MINOS and T2K data present a complementary behavior, with regard to our theoretical model, resulting in a better sensitivity for n = +2 and n = −2, respectively. We perform a combined analysis of both experimental data and include a reactor constraint on sin 2 θ 13 . The results of our combined analyses improve significantly the previous bounds on γ 0 for n = −2, reporting an upper bound of 1.7 × 10 −23 GeV, at the 90% confidence level.