Hyperentangled Bell-state measurement (HBSM) is an indispensable building block for implementing high-capacity quantum communication. Here we present a universal HBSM scheme resorting to linear optics, which is efficient to divide 16 hyperentangled Bell states in polarization and momentum degrees of freedom (DOFs) into 14 distinguishable groups assisted by time-bin DOF instead of auxiliary entanglement resource. This HBSM scheme has universal applications in quantum information protocols, such as its applications in the implementation of hyperteleportation and hyperentanglement swapping besides hyperdense coding. It enlarges the efficiency and applicability of linear-optical HBSM in quantum information processing.