The space velocities of 200 long-period (P>5 days) classical Cepheids with known proper motions and line-of-sight velocities whose distances were estimated from the period--luminosity relation have been analyzed. The linear Ogorodnikov-Milne model has been applied, with the Galactic rotation having been excluded from the observed velocities in advance. Two significant gradients have been found in the Cepheid velocities, ∂W/∂Y=−2.1±0.7 km s−1 kpc−1 and ∂V/∂Z=27±10 km s−1 kpc−1. In such a case, the angular velocity of solid-body rotation around the Galactic X axis directed to the Galactic center is −15±5 km s−1 kpc−1.