Abstract: By using the Y→△ conductance equivalent transformation formula, we simplify the regularly-connected n-level triangle ladder resistor network with the same resistance in each branch circuit into the one-level triangle resistor network. Whose waist edge resistance is nr and whose recursion formula for the bottom edge resistance is Rn=αQn-1（m-β）-βP^n-1（m-α）^-Q^n-1（m-β）-P^n-1（m-α）.

Key words: triangle ladder resistance networks, star-triangle equivalent transformation, waist edge resistance, bottom edge resistance