The review of modern algorithms in computer algebra for Feynamn diagram calculation are described. We discuss the algorithms that base on the group theory for standard model and their extensions and the algorithms complexity. The list of reviewed algorithms consider all steps of calculation: from generation Feynman rules from lagrangian, generation of Feynman diagrams, trace calculations, multiloop calculation, calculation for theories in curvature spaces. In the report discuss the present computer algebra packages to automation of Feynaman diagram calculation and their possible future development.