Based on the laser cooling technology, the effects of laser parameters on permanent magnet Zeeman slower for ytterbium atoms are studied theoretically. The optimal length of the permanent magnet Zeeman slower is obtained by calculating and analyzing the intensity of the cooling laser and the effective coefficient. We show the dependence of the magnetic field distribution of the permanent magnet Zeeman slower on the laser polarization and detuning. The magnetic field amplitude of permanent magnet Zeeman slower can be smller when the capture speed is 310 m/s and σ- light with -400 MHz detuning frequency is adopted, where atoms are more likely to escape from the resonance deceleration process at the end of the Zeeman slower. According to the optimal laser parameters and the magnetic dipole model, we propose a transverse-field permanent magnet Zeeman slower suitable for cold ytterbium atomic optical lattice clocks, which lays the foundation for the development of space-borne clocks and transportable optical clocks.