A method for programming a resistive random access memory including a matrix of memory cells. This method includes a programming procedure that includes applying a programming voltage ramp to the memory cells of a part at least of the matrix, the programming voltage ramp starting at a first non-zero voltage value, called start voltage, and ending at a second voltage value, called stop voltage, greater in absolute value than the first voltage value. The stop voltage is determined such that each memory cell of said at least one part of the matrix has a first probability between 1/(10N) and 1/N of having a programming voltage greater in absolute value than the stop voltage (Vstop), N being the number of memory cells in the at least one part of the matrix.