President Museveni has appointed the Director of Public Prosecutions Mike Chibita and two others as justices of the Supreme and also named a new Principal Judge to replace the retiring Justice Yorokamu Bamwine.
The Mbarara Senior Resident Judge, Dr Flavian Zeija, has been appointed the new Principal Judge of the High Court of Uganda.
Justice Zeija was first appointed judge of the High Court in 2016.
Justice Bamwine will leave judicial service on December 25 upon clocking the retirement age of 65.
The Principal Judge is third in the hierarchy of the Judiciary, coming after the Chief Justice and Deputy Chief Justice.
The candidates have been forwarded to the Speaker, Ms Rebecca Kadaga for parliamentary vetting next week.
The new appointments follow the earlier ones in October when 15 judges were appointed; 12 going to the High Court and three to the Court of Appeal.
The 15 have not yet been sworn in, but are also scheduled to take oath on Tuesday.
The appointments to the Court of Appeal include Irene Mulyagonja (current Inspector General of Government whose term of office expires early next year); Muzamiru Kibeedi Mutangula, (private lawyer) and Justice Monica Mugenyi (current Principal Judge of the East African Court of Justice based in Tanzania).