  We test the subclasses of Horndeski gravity without Vainshtein mechanism in
the strong field regime of binary pulsars. We find the rate of energy losses
via the gravitational radiation predicted by such theories and compare our
results with observational data from quasi-circular binaries PSR J1738+0333,
PSR J0737-3039, PSR J1012+5307. In addition, we consider few specific cases:
the hybrid metric-Palatini f(R)-gravity and massive Brans-Dicke theory.
