  We have studied quasi-periodic oscillations frequencies with relativistic
precession model for a disformal Kerr black hole, which is a solution in
quadratic degenerate higher-order scalar-tensor (DHOST) theories. For this
rotating black hole owning an extra disformal parameter, we find that only the
periastron precession frequency is related to the disformal parameter, while
the azimuthal frequency and the nodal precession frequency are totally
identical with those in the usual Kerr black hole in general relativity. With
the observation data of GRO J1655-40, we best-fit the parameters of the
disformal Kerr black hole. Our results show that in the range of $1 \sigma$ the
disformal parameter $\alpha$ is almost negative, which implies the negative
disformal parameter $\alpha$ is favored by the observation data of GRO
J1655-40.
