The present invention provides a suboptimal solution rapid solving method based on an optimal control problem pseudo-spectral method solving framework. The method is based on the pseudo-spectral method solving framework of an optimal control problem, combined with the technology of dynamic inverse optimization method of a parameterized state variable and a strategy of broadening an NLP problem solution, the rapid solution of constrained control problem suboptimal feasible solution is realized. The method comprises the following steps of: firstly selecting a basic state variable, utilizing a state equation and equality constraint to backstep other state variables and control variables to obtain a solution satisfying the state equation and the equality constraint; secondly complementing the constraint to realize the satisfaction of a backstepping state variable terminal condition and inequality path constraint; thirdly no longer clinging to the optimality of the solution for the NLP solution, not requiring the success of the NLP problem solution, broadening an NLP calculation end criterion as satisfaction of all constraint; fourthly carrying out inspection of the feasibility of the solution, if the feasibility is satisfied, ending the solution, if the feasibility is not satisfied, adopting recalculation of measures of strengthening the inequality path constrain or encoding pseudo-spectral method collocation.