We study the nonlocal spin and charge current generation in a finite metallic element on the surface of magnetic insulators such as tcb{yttrium iron garnet} due to the absorption of the magnetic surface plasmon (MSP). Whereas a surface plasmon is completely reflected by a metal, tcb{an} MSP tcb{can be} absorbed tcb{due to the absence of backward states}. The tcb{injection of} MSP generates a voltage in the longitudinal direction parallel to the wave vector, tcb{with the voltage} proportional to input power. If the metal is a ferromagnet, a spin current can also be tcb{induced} in the longitudinal direction. Our tcb{results provide a way to improve upon} integrated circuits of spintronics and spin wave logic devices.