The Story of Neptune is an album by the American musician Tony Williams.

The Washington Post wrote that, "whether vigorously emphatic or impeccably subdued, [Williams's] touch is felt everywhere, propelling some tunes with tumultuous rhythms and underpinning others with a gently swinging pulse.

"[14] The Baltimore Sun determined that, "from the giddy extrapolations of 'Neptune: Fear Not' to the carefully arranged ensemble work of 'Blackbird', the playing here is never less than excellent.

"[15] The Times opined that Wallace Roney's "diamond-cut lines are the perfect foil to [Williams's] only splintery percussion, but the leader has also learned to play more melodically, exchanging some of the fiery press-rolls he derived from Art Blakey for the quieter and more measured approach of the other great bop master, Max Roach.

"[16] The Guardian concluded that "pianist Mulgrew Miller builds from his central hammer-fisted role on the opening track to give probably his strongest performance with the group.