Some former All Blacks sent a note of condolence.
Murdoch, who was 74, was buried in Carnarvon, a coastal town situated about 900km north of Perth. It lies at the mouth of the Gascoyne River on the Indian Ocean.
The death of Murdoch was first reported at Easter but it is believed he had died a month before that.
The service took place on Saturday at the Carnarvon cemetery. Carnarvon is a small town of about 4000 that relies on tourism and fishing.
Murdoch, a prop who played 27 matches for the All Blacks from 1970 to 1972 - including three tests - was the first All Black to be sent home from a tour for disciplinary reasons.
After scoring the only try in the All Blacks' win over Wales in 1972, Murdoch was involved in a fight at a Cardiff hotel - the night of the test - and was sent home by All Blacks management.
He reportedly punched a security guard who refused him entry to a restaurant.
Instead of heading back to New Zealand, Murdoch moved to the Australian Outback and was sighted publicly only four times after 1972.
A member of Murdoch's family yesterday confirmed the funeral service took place on Saturday but declined to comment further.
Murdoch was believed to have returned to New Zealand occasionally over the years.
However, he lived in Australia and travelled around the Outback.
Former All Black prop Jeff Matheson said yesterday the funeral service for his All Black team-mate was on Saturday and he and four former All Blacks had signed a note of condolence, which was presented at the funeral.
Along with Matheson, Ian Kirkpatrick, Duncan Robertson, Grahame Thorne and Alex Wyllie had written on the note to show Murdoch was still in their thoughts.
Murdoch's sister spoke at the service.
Many of Murdoch's team-mates had talked over the years of their regret over not standing up for Murdoch when he was sent home from the tour.
