[Author] M. I. Grigoriev [Title] Bernstein polynomials on two variables [AMS Subj-class] 41A10 Approximation by polynomials [Abstract] A Bernstein polynomial of order $n$ on two variables is considered. Fast algorithms for calculation of the values and all the partial derivatives of the polynomial in a given point are proposed. [Comments] Russian, 8 pp. [Contact e-mail] m_grigoriev@list.ru