A solenoid apparatus for a shift lever is provided that includes a bobbin having an aperture therein and a coil wound therearound. A core is mounted on the exterior of the bobbin, surrounds an end portion of the aperture, and is magnetized by a current applied to the coil. A plunger moves along the inside of the aperture and is magnetized by the current. A shaft is inserted into, and penetrates through, the plunger and a buffer member is disposed at an end of the shaft exposed from the plunger. An elastic member is disposed between the buffer member and an end of the aperture. The plunger moves toward the core due to combined forces obtained by combining forces applied in a direction of the movement of the plunger by a magnetic field generated by the current and attractive forces generated vertically between the plunger and the core.