Kirkham was an ice hockey official for 18 years and officiated at nine World Championship tournaments.
He refereed in the Continental Cup and European Hockey League – and is now a IIHF supervisor.
Kirkham said: “I am pleased to be reappointed as referee-in-chief by Ice Hockey UK.
“I look forward to working with all parties concerned within ice hockey in the UK to assess and improve the standard of officiating.
“Working at the domestic and international level of the sport, as referee-in-chief of IHUK and a IIHF supervisor, will help improve the quality of training and development of officials in the UK.”
Ice Hockey UK chairman, Jim Anderson, said: “Simon has so much respect, not just in the UK but across the world.
“He has officiated at the highest level in this country and also at World Championship tournaments worldwide.
“He has a great relationship with the IIHF and it is great that Simon has been reappointed to this role.”