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Mathematical model and numerical simulation results of metals alloy solidification process based on the finite element method are presented in this paper. After completion of the mould filling process the main solidified of molten metal takes place and its shrinkage. The phenomenon of casting shrinkage cannot be avoided. However, it is possible to minimize the occurrence of its negative effects on the casting quality. The phenomenon of shrinkage defects formation was included in the numerical calculations and they were tried to reduce them. It is very important aspect of this work which makes possible the prediction of the location of the casting defect depending on the riser dimensions and casting conditions. The results of computer calculations of the three-dimensional solidification problem of the casting with riser are discussed in details and presented.