The paper examines the problem of identifying the parameters of the Uzawa-Lucas growth model. The required parameters are found as a result of comparing the simulated outputs with their prescribed values. The problem is formulated as an optimal control problem in which the objective function is the standard deviation of the simulated outputs from their prescribed values. The control is the desired model parameters. The problem is solved numerically using the gradient method, while the gradient of the objective function is calculated using precise formulas of fast automatic differentiation.