The vibrational frequency and the ground-state energy of strong-coupling polaron in quantum rod (QR), bounded in parabolic potential with ellipsoidal boundary condition, are respectively, obtained using the linear-combination operator and unitary transformation methods. Numerical results illustrate that the vibrational frequency will increase with decreasing the effective radii R 0 of ellipsoidal parabolic potential and the aspect ratio e of ellipsoid while with increasing electron-bulk longitudinal-optical (LO)-phonon coupling strength α, and that the ground-state energy will increase with decreasing R 0 and α. Besides, the ground-state energy will decrease with e increasing in 0 < e < 1 area, get to minimum when e = 1, and then increase with e increasing in e > 1 area.