  We investigate scalar-tensor and bi-scalar-tensor modified theories of
gravity that can alleviate the $H_0$ tension. In the first class of theories we
show that choosing particular models with shift-symmetric friction term we are
able to alleviate the tension by obtaining smaller effective Newton's constant
at intermediate times, a feature that cannot be easily obtained in modified
gravity. In the second class of theories, which involve two extra propagating
degrees of freedom, we show that the $H_0$ tension can be alleviated, and the
mechanism behind it is the phantom behavior of the effective dark-energy
equation-of-state parameter. Hence, scalar-tensor and bi-scalar-tensor theories
have the capability of alleviating $H_0$ tension with both known sufficient
late-time mechanisms.
