%{\bf During drafting @DESY/KIT}: \\ %use \textcolor{blue}{blue color to indicate new / updated items} and \textcolor{red}{red color to indicate open / to-be-checked items} A search for neutral Higgs boson decays into tau lepton pairs in a final state characterized by two muons and missing transverse energy is presented. The study is based on a data set corresponding to an integrated luminosity of 4.5 fb %of proton-proton collision data collected with the CMS detector at the LHC at a center-of-mass energy of 7 TeV. The search is performed in the context of the Standard Model (SM) and the Minimal Supersymmetric Standard Model (MSSM). Included are the cases %including the cases where the Higgs boson is produced with two forward jets in the vector boson fusion %Higgs boson process (SM search), or with a high- hadronic jet %where the tau pair has large transverse momentum (SM search), or in association with a b-quark jet (MSSM search). No significant excess of events over background expectations is observed and %results of the analysis are translated into 95\% CL upper limits on the cross section of the Higgs boson production in the SM and on model parameters in the MSSM scenarios are presented.