This paper estimates the Higgs boson production and its decay into muon-antimuon pairs (μ+μ−) at 14 TeV center of mass energy of proton-proton collisions in the High Luminosity Large Hadron Collider (HL-LHC) era, assuming integrated luminosities of 0.3 ab^-1 and 3 ab^-1. The events in this study were generated using Monte Carlo tools, MadGraph5_aMC@NLO. The simulation of hadronization, fragmentation, Initial State Radiation (ISR) and Final State Radiation (FSR) processes was performed using Pythia8. The simulation of the detector was done using DELPHES. According to the most recent ATLAS and CMS measurements, the mass of the Higgs boson was assumed to be 125.35 GeV. The expected number of collision events were calculated for the SM Higgs and all Standard Model processes that give two muons in the final state. An estimate for the size of data needed for observing the Higgs boson in the above channel is also calculated.