The muon (g-2) experiment at Brookhaven completed a first run in June and July 1997. The main components of the experiment, which include the superconducting inflector, the superferric storage ring, the electrostatic quadrupoles and the lead scintillating fiber electron calorimeters, have been commissioned satisfactorily. Our first measurement of the ratio R of the spin precession frequency of the positive muon relative to that of a free proton, R = (3.707 219+/-0.000 048 x 10(-3), is in good agreement with the previous CERN measurements for mu(+) and mu(-), and has approximately the same uncertainty as each of these measurements. Ln spring 1998 a muon kicker was installed and successfully tested in the storage ring magnet and a significant improvement in the knowledge of the muon g-factor Is expected from upcoming runs in August 1998 and January 1999.