Meloni had faced opposition calls to punish Emanuele Pozzolo, a lawmaker from her Brothers of Italy party, after a bystander was injured when a gun belonging to him went off at a New Year celebration.
Speaking at a news conference, Meloni said she had recommended the suspension pending an investigation of Pozzolo's conduct by a Brothers of Italy committee.
Italian prosecutors are also investigating Pozzolo, who has denied firing the mini-revolver himself.
(Writing by Keith Weir; Editing by Crispian Balmer)