The proposal was one of 30 recommendations included in the sixth annual BHRS human rights report, unveiled in a Press conference at the Crowne Plaza.
BHRS secretary-general Dr Abdulla Aldeerazi, assistant secretary general Isa Al Ghayeb and board member Ahmed Hejri were also present at the event.
"There is no independent body to select the judges, promote and dismiss them and analyse their performance," said Mr Al Ekri, who is also Bahrain Transparency Society president.
"Unless the judiciary has its own body which rules and governs it, you do not expect that it will be independent."
Mr Al Ekri also accused the present judiciary of being reluctant to proceed with cases against government officials. "Why do the courts refuse to allow cases against the police, Interior Ministry and the state?" he asked.
The report included the example of a group of protesters allegedly injured by security forces during a peaceful demonstration in May 2004.
It was only examined last year, but the High Civil Court refused to accept the matter as a legitimate case.
An appeal was lodged to the Cassation Court, but it is yet to issue a verdict.