The use of tough hydrogels as biomaterials is limited as a consequence of time-consuming fabrication techniques, toxic starting materials, and large strain hysteresis under deformation. Herein, we report the simultaneous application of nucleophilic thiol-yne and inverse electron-demand Diels-Alder additions to independently create two interpenetrating networks in a simple one-step procedure. The resultant hydrogels display compressive stresses of 14-15 MPa at 98% compression without fracture or hysteresis upon repeated load. The hydrogel networks can be spatially and temporally postfunctionalized via radical thiylation and/or inverse electron-demand Diels-Alder addition to residual functional groups within the network. Furthermore, gelation occurs rapidly under physiological conditions, enabling encapsulation of human cells.