We report on a search for the decay K-L --> pi(o)nu<(nu)over bar>, carried
out as a part of E799-II, a rare K-L decay experiment at Fermilab. Within t
he standard model, the K-L --> pi(o)nu<(nu)over bar> decay is dominated by
direct CP violating processes, and thus an observation of the decay implies
confirmation of direct CP violation. No events were observed, and we set a
n upper limit for the branching ratio of K-L --> pi(o)nu<(nu)over bar> to b
e < 5.9 x 10(-7) at the 90% confidence level.