Pultrusion process is a continuous and efficient process producing composite profiles with a constant cross-section. During pultrusion, the fibre reinforcements are saturated with the resin in a resin tank and then continuously pulled through a heated die by a puller. External electrical heaters are used for heating of the die in conventional pultrusion technology. Inside the die, the resin gradually cures and solidifies to form a composite part with the same cross-section profile as in the die. Two numerical techniques based on the finite element method have been developed for a simulation of the conventional pultrusion processes. The first uses the general purpose finite element software ANSYS Mechanical, the second is quite new and specialized on the fluid dynamic finite element software ANSYS CFX. The developed techniques have been validated by using the experimental and numerical results demonstrating a distribution of the temperature and degree of cure along the control line of pultured profile and published in open literature.