We present a measurement of the mass difference Delta m_d mass eigenstates. We use a flavor tagging method based on the lepton charge, in a sample of events with two muons at low transverse momentum. The sample corresponds to an integrated luminosity of 90 pb-1 collected by the Collider Detector at Fermilab. The result obtained is Delta m_d = 0.503 +/- 0.064(stat.) +/- 0.071(syst.) ps-1.