This study investigates the interfacial bonding quality and forming stability of carbon fiber reinforced polyether ether ketone (CF/PEEK) thermoplastic composites during laser-assisted automated fiber placement (LAFP). Single-factor experiments on layup temperature, compaction force, and placement speed were conducted to evaluate their effects on laminate short-beam shear strength (SBSS). A quadratic model was developed using response surface methodology (RSM) to correlate the process parameters with the SBSS and warpage. The model was then integrated with grey relational analysis (GRA) and principal component analysis (PCA) for multi-objective optimization. The optimal process parameters were determined as follows: a layup temperature of 416 °C, a compaction force of 355 N, and a placement speed of 0.09 m/s. Under these conditions, the laminates exhibited an experimental SBSS of 70.02 MPa and a warpage of 0.2118%. The model predictions were 68.61 MPa (2.06% error) for SBSS and 0.1977% (7.13% error) for warpage. These results indicate that the constructed models are reliable and applicable to optimizing the LAFP process for CF/PEEK composites.