Active phasing coherent beam combination of fiber laser array is an efficient way to scale high power laser while holding good beam quality simultaneously. The key technique of active phasing coherent beam combining system is active phase-locking control of the coherent fiber laser array. Active phase-locking using stochastic parallel gradient descent (SPGD) algorithm holds the advantage of easy strategy and compact bulk. Furthermore, by choosing appropriate metric function and iteration parameter, special phase control state of the system can be realized and corresponding multiform coherent combined laser beams can be achieved, which are agree with the requirement of adaptive photonics phase-locked element (APPLE) array system. With SPGD algorithm-based active phase-locking system, in-phase phase locking of coherent beam combination, beam steering of the main lobe of combined laser beams, generation of dark-hollow beam are analyzed theoretically and demonstrated experimentally, and the feasibility of multiform beam control of coherent fiber laser array using SPGD algorithm is validated.