Vortex in the cell method was investigated for solution of the flow problem in an arbitrary domain. The Poisson equation was solved on a non-rectangular body-oriented structural grid. Such a grid allows one to cover precisely a complex geometry and offers a great flexibility in the choice of the software for the mesh generation. A new method for redistribution of the vortex particles intensity (circulation) onto irregular mesh nodes was worked out. Test computation was made for a flow around a cylinder and airfoil with various angles of attack. A good qualitative agreement was obtained with the pictures of the flow presented in literature.