Grid resource scheduling is one of the popular issues in grid computing research field. Ant colony algorithm (ACA) is an effective method to solve NP (non-deterministic polynomial) problems. By studying the process of resource scheduling in grid environment and ant colony algorithm for classic TSP problem, a strategy of resource scheduling based on ACA in grid environment was proposed. Then, the new scheduling strategy was simulated using the GridSim toolkit package. The experimental result shows that ACA-based algorithm is more effective in grid resources scheduling with the advantages of reducing the executing time and completing time.