The man accused of murdering two women in Claremont in the 1990s has had his next court appearance postponed until February next year.

Bradley Robert Edwards was charged in December last year with the murders of Jane Rimmer in 1996 and Ciara Glennon in March 1997, who both vanished after a night out in Claremont.

Their deaths sparked a massive hunt for the murderer, who became known as the Claremont serial killer.

Mr Edwards is not charged over the disappearance of Sarah Spiers, 18, after a night out in the same area in January 1996.

He is accused of two other sex attacks on women — the abduction and sexual assault of a 17-year-old girl at Karrakatta Cemetery in 1995 and the indecent assault of an 18-year-old woman in her own home in 1988.

Mr Edwards is yet to plead to all of the charges against him.

He has made three appearances in court since his arrest at his Kewdale home on December 22 last year, and was due to front the Stirling Gardens Magistrates Court again on Wednesday.

However, the court issued a statement saying Wednesday's scheduled appearance had been "vacated" and Mr Edwards was due to appear again at the end of February.

All but his first court appearances have been via video link from Hakea prison.

His case is still in the beginning stages of the court process and he will eventually end up in WA's Supreme Court.