A new muon beam profile monitor (MBPM) was developed to diagnose pulsed muon beams at J-PARC MUSE, mainly composed of a scintillation screen, a gated image intensifier (II), and a cooled CCD camera. The MBPM was designed to be compact so that it could be inserted into the bore of the μSR spectrometer in the D1 area and used concurrently. The spatial resolution of the MBPM was evaluated to be better than 1.4mm, depending on the II gain. Such high-resolution muon beam profiles were obtained online for a positive muon beam with a kinetic energy of approximately 4MeV. The contribution from the decay positrons to beam profiles was significantly reduced owing to the II gating. The linearity of the MBPM was evaluated on the basis of the number of decay positrons monitored by the μSR spectrometer. A linear response within a deviation of ±5% was confirmed over more than two orders of magnitude. In addition, a 3D imaging capability, used in vacuum, and immunity against moderate magnetic fields were demonstrated.