It was conducted by the Rt Rev Alan Abernethy Bishop of Connor.
The Sermon was delivered by Rev Dr Maurice Elliott, Director, Church of Ireland Theological Institute.
The new rector, his wife Nadine and children Erin (15) and Jamie (12) were joined by parishioners on the special occasion.
A native of south Belfast, Mr Davison (44) has a BD from St Andrew's University, Scotland. He also studied at Oakhill Church of England College, London and at the Church of Ireland Theological College, Dublin.
He was ordained a Deacon in June 1992 at a service in St Patrick's Cathedral, Armagh, and served his curacy in St Mark's Parish, Portadown. In October 1995 Mr Davison was appointed rector of the Parish of Kinawley and Holy Trinity, Derrylin, Co Fermanagh, a small rural parish bordering Co Cavan in the Diocese of Kilmore. He remained rector there until his appointment to Carrickfergus. In 1997 he was appointed Diocesan Director of Ordinands, and in 2003 he became Archdeacon of Kilmore. Mr Davison was also a member of the Diocesan Forward Steering Committee.
Speaking of his new incumbency, Mr Davison said: "I am looking forward to the challenges that lie ahead in Carrickfergus. We are going to miss the folk in Derrylin, it has been a great place to be, but we are looking ahead to what God has for us in Carrickfergus."