Media company News Limited is being charged with contempt of court after one of its newspapers published an incorrect report about an Alice Springs murder trial.

On Monday two men went on trial, pleading not guilty to the murder of Ed Hargrave almost two years ago.

Yesterday, the Centralian Advocate, owned by News Limited, wrongly reported a juror was related to both of the accused.

Justice John Reeves said he was concerned the misinformation could affect public perception of the trial's integrity.

He told the newspaper to run a correction on its front page on Friday.

This morning, he also told the editor a contempt of court charge will be laid.

The charge will be discussed in court next week.

The murder trial continues this afternoon and could last another two-and-a-half weeks.