  We use the black hole entropy function to study the effect of Born-Infeld
terms on the entropy of extremal black holes in heterotic string theory in four
dimensions. We find that after adding a set of higher curvature terms to the
effective action, attractor mechanism works and Born-Infeld terms contribute to
the stretching of near horizon geometry. In the alpha'--> 0 limit, the
solutions of attractor equations for moduli fields and the resulting entropy,
are in conformity with the ones for standard two charge black holes.
