The Austrian will succeed Wayne Rooney at the Championship club after signing a three-and-a-half year deal.
The former England captain left the club on New Year’s Eve with the Pilgrims bottom of the Championship, following a run of one win and nine losses in 14 games.
Muslic was most recently the manager of Belgian side Cercle Brugge until being sacked last month.
He’ll be in the stands for the club’s FA Cup tie at Brentford on Saturday 11 January before taking charge of his first game on Tuesday (14 January).
Muslic was most recently the manager of Cercle Brugge where he had an impressive record, winning 43 of his 101 games in charge as he took the Belgian side from a lowly domestic position to European football.
Highly rated throughout Europe, the 42-year-old also has a reputation for a courageous football style and developing and nurturing young players. Miron has further management experience at Austrian sides Ried and Floridsdorfer AC.
Muslic beat off competition from several high calibre candidates to become Argyle’s number one choice with the Board, and Chairman Simon Hallett is delighted to bring him to the club.
He commented: “Miron had a clear vision of how he wanted to take Argyle forward and showed a depth of tactical awareness that made it clear exactly how he wanted the team to set up and play.
“He comes with glowing reviews from his time at Cercle Brugge where he took a team from a lowly league position to European football which is no mean feat.
“I want to welcome him to the club and look forward to seeing him have an immediate impact on the team.”
First-team coach Kevin Nancekivell will form part of Muslic’s backroom team, with further confirmation of the make-up of his staff in due course.
