Colin Gibson, 33, was killed at the pub while with friends celebrating a colleague's birthday.
Mr Gibson's family held hands as they arrived for the service. Among them were his mother, Anne Glasper, and her husband - Colin's stepfather - Eddie Glasper.
Also at the service was Finance Secretary John Swinney, Glasgow City Council leader Gordon Matheson, Lord Provost Sadie Docherty, senior police officers, Clutha owner Alan Crossan and manager Saverio Petri.
The service was led by the Reverend Fiona Maxwell and mourners sang the hymns How Great Thou Art and Once In Royal David's City before Mr Gibson's partner, David Hay, read a personal tribute.
Mr Gibson, who was based at Glasgow Airport with the UK Border Agency, was engaged to Mr Hay and they lived in Ayr.
Mr Gibson's sister, Diane Christensen, then read a piece describing her brother's life.
A collection of photographs of Mr Gibson, including some of his baby pictures, was printed on the Order Of Service.
As mourners left the 500-capacity church the Thornliebank Accordion Band played. A bouquet of white flowers and single red and white roses lay on the coffin.