Barman Anthony Bird, 41, was found naked with his wrists bound at his flat in in Kensington Gardens Square on June 6 1980, days after he did not turn up for work.
A post-mortem examination found the cause of death was strangulation.
John Paul, 60, from Ladbroke Grove, Notting Hill, appeared at the Old Bailey by video-link on Tuesday after he was last week charged with murder.
He spoke to confirm his name and date of birth but was not asked to enter a plea to the charge.
Judge Mark Dennis QC remanded Paul in custody ahead of a plea and trial preparation hearing at the same court on August 17.