The paper presents an analytical investigation of the unbalance vibrations of a pump rotor. The analysis applies to rotor-bearing-seal-impeller systems which consist of rigid disks, distributed parameter rotor elements and discreate bearings, seals, and impellers. The dynamic hydraulic force of bearing, seal and impeller elements are represented by four stiffness coefficients arid four damping coefficients. Numerical results are presented for unbalance response associated with various kinds bearing, and with effects of seal and impeller forces.