Poly(ether-ether-ketone) (PEEK) is used in many area especially structural and industrial applications due to it has superior mechanical, chemical and thermal properties. Besides excellent electrical and thermal properties, carbon fibres have high specific tensile modulus and strength. Due to these properties, carbon fibers are frequently used as reinforcement materials in polymer matrices. While the polymer matrix determines the long-term durability of the composite system, light carbon fibers ensure that the material is durable and lightweight. Since composites have more than one materials together which are different thermal and mechanical properties, machining of composites is more complex than pure materials. Lasers are used in many industrial and high technological area. In this study, proposed mathematical model has been applied on the cavity formation on PEEK composite by single laser pulse using Fourier method with homogenous approach. The effects of the laser energy on temperature distribution in PEEK composite was investigated and the numerical model was obtained.