This paper discusses that major problem is the construction project scheduling mathematical model and a simple algorithm in the uncertain resource environments. The project scheduling problem with uncertain resource constraints comprised mainly three parties: one of which its maximal limited capacity is fixed throughout the project duration; second maximal limited resource capacity is random variable; thirdly resource is fuzzy.The objective function is taken as the total completion duration of project to be minimized. A proper uncertain mathematical model is firstly constructed for pre-given confidence level and the important degree of the activity by using of chance-constrained programming method. And then the original uncertain problem is converted into an equivalent deterministic nonlinear programming problem by means of some efficient measures. Finally a simple two-stage solving method is proposed, the evaluation and adjustment strategy may be applied to obtain a modifying solution according as solution to deterministic programming problem. A numerical example is presented.