The country's highest-ranking judges were found guilty earlier this month of influencing lower court judges and sentenced to one year, seven months and six days in prison.
Wednesday's sentencing hearing was postponed several times and eventually cancelled after the Hameed was taken to hospital with breathing difficulties before he went into the courtroom.
Thursday's hearing in the trial of Chief Justice Abdulla Saeed and Supreme Court Ali Hameed has been closed to the media and public.