The utility model relates to a limited slip differential assembly for a vehicle and a vehicle transmission system. The limited slip differential assembly for the vehicle comprises a planetary gear assembly, a differential shell which rotates along with one part of the planetary gear assembly, a differential gear assembly which is arranged in the differential shell and comprises two side gears coupled with two driving wheels of the vehicle, and a hydraulic type clutch assembly which comprises a clutch assembly and a clutch actuator. Pressurized hydraulic fluid from a transmission pump is selectively supplied to the clutch assembly so as to actuate the clutch assembly comprising a plurality of annular friction discs and annular sheets which are alternately between an opening structure and a completely-closed structure; the annular sheets and the annular friction discs respectively rotate along with one and the other one of the differential shell and the differential gear assembly; the opening structure and the completely-closed structure independently rotate in a manner of not contacting or in a manner of contacting relative to the annular sheets and the annular friction discs respectively; the side gears rotate independently in the opening structure; the side gears rotate together in the completely-closed structure so that the two driving wheels rotate at the same speed.