We　demonstrate　the　first　use　of　single　layer　graphene　for　compressing　self-Q-switching　pulses　in　semiconductor　disk　lasers.　The　gain　region　of　the　semiconductor　disk　laser　used　InGaAs　quantum　wells　with　a　central　wavelength　of　1030　nm.　Due　to　self　saturable　absorption　of　the　quantum　wells,　the　disk　laser　emitted　at　the　self-Q-switching　state　with　a　pulse　width　of　13　mu　s.　By　introducing　the　single　layer　graphene　as　a　saturable　absorber　into　the　V-shaped　laser　cavity,　the　pulse　width　of　the　self-pulse　was　compressed　to　2　mu　s　with　a　lower　pump　power　of　300　mW.　As　the　pump　power　was　increased,　multiple　pulses　with　the　pulse　width　of　1.8　mu　s　appeared.　The　compression　factor　was　about　7.2.