We propose a protocol for comprehensive quantitative 3D UTE-Cones imaging of the knee joint with motion correction. The protocol includes 3D UTE-Cones actual flip angle imaging (UTE-Cones-AFI) for T1 measurement, UTE-Cones with variable TEs for T2* measurement, UTE-Cones with adiabatic T1ρ preparation for AdiabT1ρ measurement, and UTE-Cones-MT for measuring MTR and modeling of macromolecular fraction (f) for various knee joint tissues including the cartilage, menisci, ligaments, tendons and muscle. An elastix motion registration method was used for motion correction. In our study, three knee specimens and 15 volunteers were evaluated. Mean and standard deviation of the measurements for various knee joint tissues are reported.