  Kekul\'e phases are Peierls-like lattice distortions in graphene that are
predicted to host novel electronic states beyond graphene (1-8). Although the
Kekul\'e phases are realized in graphene through introducing electron-electron
interactions at high magnetic fields (9-11) or adatom superlattices (12-15), it
is still an extremely challenge to obtain large-area graphene Kekul\'e phases
in experiment. Here we demonstrate that sample-wide Kekul\'e distortions in
graphene can be stabilized by using transition metal dichalcogenides (TMDs) as
substrates and the induced Kekul\'e orders are quite robust in the whole
graphene/TMDs heterostructures with different twist angles. The commensurate
structures of the heterostructures provide periodic scattering centers that
break the translational symmetry of graphene and couple electrons of the two
valleys in graphene, which tips the graphene toward global Kekul\'e density
wave phases. Unexpectedly, three distinct Kekul\'e bond textures stabilized at
various energies are directly imaged in every graphene/TMDs heterostructure.
Our results reveal an unexpected sensitivity of electronic properties in
graphene to the supporting substrates and provide an attractive route toward
designing novel phases in graphene/TMDs heterostructures.
