In this paper we define the m−extension of Fibonacci and Lucas p−difference sequences by using the m−extension of Fibonacci and Lucas p−numbers. We investigate some properties of our new sequences and introduce some relations between the m−extension of Fibonacci and Lucas p−difference sequences and the m−extension of Fibonacci and Lucas p−numbers. Moreover, we present the sums and generating function of the m−extension of Fibonacci and Lucas p−difference sequences. Finally, we study the m−extension of Fibonacci p−difference Newton polynomial interpolation