The time spectra for muon induced fission of 233U, 234U, 235U, 236U, 238U, and 237Npwere measured simultaneously, detecting both fragments in coincidence in a fast multi parallel plate avalanche detector. The observed mean lifetimes r are 68.9___0.3 ns, 70.6+0.2ns, 72.2_0.2ns, 74.3+_0.3ns, 77.0+0.4ns, and 69.8+0.2ns for the above isotopes, respectively. No second time component, tentatively ascribed to a possible fission isomer, was observed. The deduced total capture rates are compared with theoretical predictions.