We report on the direct observation of an oscillating atomic current in a o
ne-dimensional array of Josephson junctions realized with an atomic Bose-Ei
nstein condensate. The array is created by a laser standing wave, with the
condensates trapped in the valleys of the periodic potential and weakly cou
pled by the interwell barriers. The coherence of multiple tunneling between
adjacent welts is continuously probed by atomic interference. The square o
f the small-amplitude oscillation frequency is proportional to the microsco
pic tunneling rate of each condensate through the barriers and provides a d
irect measurement of the Josephson critical current as a function of the in
termediate barrier heights. Our superfluid array may allow investigation of
phenomena so far inaccessible to superconducting Josephson junctions and l
ays a bridge between the condensate dynamics and the physics of discrete no
nlinear media.