An L-shaped torsional wrench is provided. The wrench includes a shell body, an elastic member, an L-shaped rod and a handle. A pushing member is assembled in the shell body and is movable between a first position and a second position along the shell body. The elastic member is compressed by the pushing member when the pushing member is located in the first position for compressing the elastic member. The pushing member is noncompressed by the elastic member when the pushing member is located in the second position so that the elastic member recovers from said compression for slowing the fatigue of the elastic member, extending the durability of the elastic member and keeping the torsional accuracy of the wrench.