The second cabinet of Edmund Joensen was the government of the Faroe Islands from 11 June 1996 until 15 May 1998, with Edmund Joensen from Sambandsflokkurin (SB) as Prime Minister. The other parties of the coalition were: People's Party (Fólkaflokkurin) (FF), Workers' Union (Verkamannafylkingin) (VMF) og Self-Government Party (Sjálvstýrisflokkurin) (SF). The Self-Government Party, with Sámal Petur í Grund as minister, left the government on 1 December 1997.
| Minister | Party | From | Until | |
|---|---|---|---|---|
| Prime Minister | Edmund Joensen[1] | Union Party | 11 June 1996 | 15 May 1998 |
| Ministry | Minister | Party | From | Until |
| Ministry of Environment-, Energy, School and Municipalities | Eilif Samuelsen | Union Party | 11 June 1996 | 15 May 1998 |
| Ministry of Trade, Industry and Agriculture | Ivan Johannesen | Union Party | 11 June 1996 | 15 May 1998 |
| Ministry of Finance and Economy | Anfinn Kallsberg | People's Party | 11 June 1996 | 15 May 1998 |
| Ministry of Fisheries | John Petersen | People's Party | 11 June 1996 | 15 May 1998 |
| Ministry of Social, Health, Labour, Safety and Justice | Óli Jacobsen | Workers' Union | March 1998 | 15 May 1998 |
| Kristian Magnussen | Workers' Union | October 1996 | March 1998 | |
| Axel H. Nolsøe | Workers' Union | 11 June 1996 | October 1996 | |
| Ministry of Communication, Culture, Tourism and Aquaculture | Sámal Petur í Grund | Self-Government Party | 11 June 1996 | 1 December 1997 |