Abstract: Discusses the problems of chaos and its control of a class of singular biological economy system by the theory of differential-algebraic equations. Judged by the numerical method, the system presents complicated dynamical characteristic hence the chaotic phenomenon along with the change of the seasonal influencing factors on it. Then, a controller is designed by use of feedback linearization to cause the output of chaos system to track an expected constant value or period orbit with a rational developing strategy formulated, thus implementing the feedback tracking control of chaos in the system. Numerical simulations are given to illustrate that the control method is effective in practice and enables the biological population in chaotic states to grow smoothly and offer mankind material wealth for long.