ALICE is the LHC experiment dedicated to the study of heavy-ion collisions at extreme energy density where formation of the quark–gluon plasma is expected. Among the different observables, open heavy flavors and heavy quarkonia states are especially relevant. Indeed they will be copiously produced and they will provide sensitive information on the collision. In this paper, the ALICE muon spectrometer will be described as well as the installation status. A few selected topics concerning the muon physics will be addressed and the related expected performances of the ALICE muon spectrometer will be given.