A scheme for generating two-mode photon-added SU(2) coherent state by means of conditional measurement is proposed. Feeding three uncorrelated Fock states into three input ports of two cascade placed lossless beam splitters respectively and counting photons in one of the output channels, the conditional state in the other two output channels is a two-mode photon-added SU(2) coherent state. The quantum nonlocality property for this state is investigated using parity meas...