Orbital period changes are an important diagnostic for understanding low mass X‐ray binary (LMXB) accretion‐induced angular momentum exchange and overall system evolution. We present our most recent results for the eclipse timing of the LMXB EXO0748‐676. Since its discovery in 1985 it has apparently undergone three distinct orbital period “epochs”, each characterized by a different orbital period than the previous epoch. We outline the orbital period behavior for EXO0748‐676 over the past 18 years and discuss the implications of this behavior in light of current theoretical ideas for LMXB evolution. © 2004 American Institute of Physics