The 1995 Faroe Islands Cup was played between 19 March and 16 August 1995. The cup was won by HB Torshavn.
The matches were played on 19 and 23 March 1995.
The matches were played on 26 March and 12 April 1995.
The second round (group stage) was played between 13 March and 7 May 1995.
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The matches were played on 12 May 1995.
The first legs were played on 21 June and the second legs on 28 June 1995.