Optimization of the cure process of thick parts of thermoset-based composites is considered for two simple classes of control regimes. One-dimensional heat transfer equation with heat release due to cure and a total kinetic equation is used. The formulation of the control problem is based on the following cure process requirements: (1) the process time must be minimum; (2) the necessary degree of cure should be achieved at the end of the process; (3) overheating of the part is inadmissible; (4) technological constraints should be considered. Temperature and conversion distributions were analyzed for different values of control parameters. A special temperature distribution with two quasi-symmetrical maxima was discovered which is very effective. It was shown that for thick parts an isolated domain of cure regimes can exist with very short process time. In the case of a rigid constraint on overheating, temperature distributions for regimes of the domain are close to the distributions with two maxima. Optimal control parameters were found for different values of the technological constraint used.