The linear microwave response of thin YBa$_2$Cu$_3$O$_{7-\delta}$ (YBCO) films in a mixed state was obtained at different angles of magnetic field rotation relative to the film surface. From the experimental dependences of the quality factor $Q$($\alpha$) and the resonance frequency $F$($\alpha$) of the YBCO microstrip resonator on the field rotation angle $\alpha$, the angular dependences of the Labusch parameter $k_p$($\alpha$) and the viscosity coefficient $\eta$($\alpha$) of the vortex flow motion are obtained. The obtained anisotropy coefficients $\gamma$=(2–9) confirm the high quality of the used samples. The approximations of the experimental data using the models of 2D and 3D anisotropy of the Labusch parameter $k_p$($\alpha$) and the viscosity coefficient $\eta$($\alpha$) showed the dominance of two-dimensional pinning in these films.