An elevator safety gear assembly for an elevator system comprises a first engagement member; a second engagement member; and a connector mechanically connecting the first and second engagement members with each other. The first and second engagement members are arranged opposite to each other defining a gap which is configured for accommodating a guide member extending in a longitudinal direction. At least one of the engagement members is movable in a direction which is inclined with respect to the longitudinal direction. The first engagement member is pivotably coupled to the connector by means of a first joint, and the second engagement member is pivotably coupled to the connector by means of a second joint. At least one of the joints is movable along the connector for changing the distance between the first and second joints.