Career
On April 17, 1982 Majnek was ordained priest in Budapest. In 1989 he began missionary work in Ukraine. On December 9, 1995 he was appointed auxiliary bishop of Transcarpathia and to the titular see of Febiana.
On January 6, 1996, Pope John Paul II ordained him bishop.
Since 1997, he served as Apostolic Administrator of Transcarpathia. On March 27, 2002 he was appointed to the diocese of Mukacheve.