The National Parks and Wildlife Authority said Saturday that bow and arrow hunts have also been suspended unless they are approved by the authority's director.
The authority says it is also investigating the killing of another lion in April that may have been illegal. It says it only received the information this week.
The announcement follows an international outcry stemming from an American hunter's killing of a lion named Cecil that was allegedly was lured out of a national park. Zimbabwean authorities say the hunt was illegal and are seeking the extradition of Minnesota dentist Walter James Palmer.