The church in Þorlákshöfn is called Þorlákskirkja. It was concecrated in 1982 and the first mass was held then even though the church wasn’t ready.
Its construction began in 1979 and Jörundur Pálsson, architect drew it. Prior to that church the people went to Hjalli in Ölfus for church that is from 1770. It is believed that churched had though been in iceland 250-400 years before that.