The 1995 Mjólkurbikarinn was the 36th season of the Icelandic national football cup. It started on 24 May 1995 and concluded with the final on 27 August 1995. The winners qualified for the qualifying round of the 1996âÂÂ97 UEFA Cup Winners' Cup.
|colspan="3" style="background-color:#97DEFF"|24 May 1995
|- |colspan="3" style="background-color:#97DEFF"|25 May 1995
|- |colspan="3" style="background-color:#97DEFF"|26 May 1995
|colspan="3" style="background-color:#97DEFF"|6 June 1995
|- |colspan="3" style="background-color:#97DEFF"|7 June 1995
|colspan="3" style="background-color:#97DEFF"|18 June 1995
|- |colspan="3" style="background-color:#97DEFF"|19 June 1995
|- |colspan="3" style="background-color:#97DEFF"|20 June 1995
|colspan="3" style="background-color:#97DEFF"|28 June 1995
|- |colspan="3" style="background-color:#97DEFF"|29 June 1995
|- |colspan="3" style="background-color:#97DEFF"|30 June 1995
|colspan="3" style="background-color:#97DEFF"|11 July 1995
|- |colspan="3" style="background-color:#97DEFF"|12 July 1995
|colspan="3" style="background-color:#97DEFF"|31 July 1995