  To generalize the concept of Pad\'e approximation for functions to more than
one variable, several definitions have been introduced. All definitions have
advantages and disadvantages. The advantages of these approaches has been
discussed in many articles. One of the main disadvantages of these methods are
low convergence rate and the loss of information in computing with low degrees.
In this work we present a new definition of the multivariate Pad\'e
approximation, treated the more than one variable to the coefficients. Our
definition is designed to avoid such disadvantages with retaining the
advantages of simple and easily computation. The main result obtained as
consequence of this definition is some properties and convergence results of
the Montessus De Ballore theorem.
