High-spin states in the odd-proton nucleus 135pm have been investigated using the 107Ag(32S, 2p2n)135 pm reaction. Seven rotational bands have been observed in 135pm. The yrast band based on a decoupled h11/2 proton is found to have a band crossing in ωc ~ 0.43 MeV/h. Two positive-parity bands based on the two signature components of the πg7/25/2+ [413] Nilsson orbital have been observed in the main sidebands. The favoured band with (π, α) = (+,1/2) has been shown to populate below the first pair of proton alignment. Both bands have shown upbend at ω1 ~ 0.26 MeV/h and ω2 ~ 0.43 MeV/h. These crossing frequencies can be attributed to the decoupling of the first pair of h11/2 quasi-proton and h11/2 quasi-neutron, respectively. Four weaker bands have been observed in sidebands too. Among them, two states are possibly built on a πd5/23/2+ [411] configuration.