He was aged 85.
Born in 1935, he was educated at Trinity College, Dublin, and was ordained in 1962.
He began his ecclesiastical work as a Curate at St Peter's Belfast in 1961, moving to a curacy at Larne in 1964.
In 1968, he became priest in charge of St Comgall's in Rathcoole, serving there until 1985, when he took over at St Bartholomew's in Stranmillis.
He was made a Canon of Lisburn Cathedral in 1990, and became Dean of Connor in 1998.
Dean Moller retired in 2001. After his retirement he founded the Retired Clergy Association, becoming its first president.
He continued to be active in the association until his death