On 27 June 1977, Jozinović was appointed Archbishop of Vrhbosna. He received his episcopal consecration from Michele Cecchini, with Franjo Kuharić and Petar Čule serving as co-consecrators on 23 October 1977. In thirteen years as archbishop, Mark Jozinović has built 30 new parish churches, 26 new parish rectories and 8 monasteries. On 19 April 1990, he retired from the ministry and until his death remained archbishop emeritus of Vrhbosna. Because of the war in Bosnia, he was forced to stay in Dubrovnik, where he died on 11 August 1994. He was buried in Sacred Heart Cathedral in Sarajevo on 13 August 1994 while Sarajevo was under siege.