Generalized homogeneous multivariate matrix Padé-type approximants (GHMPTA) and Padé approximants are studied in ways similar to those of Brezinski and Kida in the scalar cases. By choosing an arbitrary monic bivariate scalar polynomial from the triangular form as the generating one of the approximant, we discuss their several typical important properties and study the connection between generalized homogeneous bivariate matrix Padé-type approximants and Padé approximants. The arguments given in detail in two variables can be extended directly to the case of 2 variables.