Results from a simulation of the background for a muon collider, and the hits response of a silicon tracking detector to this backgroundare presented.The backgroundcausedbydecaysofthe750 GeV/ c beam μ + and μ − was simulated using the MARS15 program, which included the infrastructure of the beam line elements near the detector and the 10 ∘ nozzles that shield the detector from this background. The ILCRoot framework, along with the Geant4 program, was used to simulate the hits response of the tracker and vertex silicon detectors to the muon-decay background remaining after the shielding nozzles. Results include the hit distributions in these detectors, the fractions of type-specific background particles producing these hits and illustrate the use of timing of the hits to suppress the muon beam background.