A socket assembly comprising: a body including a driving portion and a transmission portion, with the transmission portion including a first end and a second end spaced from the first end along a longitudinal axis, with the first end of the transmission portion connected to the driving portion, with the driving portion adapted to be driven by a driving tool, with the transmission portion adapted to drive a fastener; a sleeve (2, 2a) mounted to the second end of the transmission portion, with the sleeve (2, 2a) including an outer periphery (21, 21a), with the outer periphery of the sleeve having a color different from a color of the transmission portion of the body; and characterized by a jacket (3, 3a) mounted around the transmission portion and the outer periphery (21, 21a) of the sleeve (2, 2a), with the jacket (3, 3a) including first and second ends (311, 312) spaced from each other along the longitudinal axis, with the jacket (3, 3a) further including an outer periphery extending between the first and second ends (311, 312) of the jacket (3, 3a), with the jacket (3, 3a) further including an inner periphery (314, 314a) extending between the first and second ends (311, 312) of the jacket (3, 3a) and surrounded by the outer periphery of the jacket, with the transmission portion of the body and the outer periphery (21, 21a) of the sleeve (2, 2a) visible through the outer and inner peripheries (313, 314, 314a) of the jacket (3, 3a), with the jacket made of a light-transmittable material allowing the transmission portion of the body and the outer periphery (21, 21a) of the sleeve (2, 2a) to be visible through the outer and inner peripheries (313, 314, 314a) of the jacket (3, 3a), with the jacket (3, 3a) made of plastic material. a body including a driving portion and a transmission portion, with the transmission portion including a first end and a second end spaced from the first end along a longitudinal axis, with the first end of the transmission portion connected to the driving portion, with the driving portion adapted to be driven by a driving tool, with the transmission portion adapted to drive a fastener; a sleeve (2, 2a) mounted to the second end of the transmission portion, with the sleeve (2, 2a) including an outer periphery (21, 21a), with the outer periphery of the sleeve having a color different from a color of the transmission portion of the body; and characterized by a jacket (3, 3a) mounted around the transmission portion and the outer periphery (21, 21a) of the sleeve (2, 2a), with the jacket (3, 3a) including first and second ends (311, 312) spaced from each other along the longitudinal axis, with the jacket (3, 3a) further including an outer periphery extending between the first and second ends (311, 312) of the jacket (3, 3a), with the jacket (3, 3a) further including an inner periphery (314, 314a) extending between the first and second ends (311, 312) of the jacket (3, 3a) and surrounded by the outer periphery of the jacket, with the transmission portion of the body and the outer periphery (21, 21a) of the sleeve (2, 2a) visible through the outer and inner peripheries (313, 314, 314a) of the jacket (3, 3a), with the jacket made of a light-transmittable material allowing the transmission portion of the body and the outer periphery (21, 21a) of the sleeve (2, 2a) to be visible through the outer and inner peripheries (313, 314, 314a) of the jacket (3, 3a), with the jacket (3, 3a) made of plastic material.