This study aims to investigate the cutting quality of a thin laminated core using a non-oriented electrical steel sheet by a pulsed Nd: YAG laser. The influences of three process parameters, laser power (P), scanning speed (v), and pulse repetition rate (f), on the three cutting qualities, cutting time (TC), height of recast layer (H), and kerf surface roughness (Sa), are examined. Each process parameter is elected with three levels and total of 27 experimental datasets are achieved. The preference selection index method is based on the experimental results to determine the best cutting quality through multi-qualities. The best quality is found at No.23 with process parameters of P = 18 W, v = 600 mm/s, and f = 30 kHz for qualities of TC = 20.6 s, H = 20.2 µm, and Sa = 2.4 µm.