Previous ACTG studies show that discontinuation of one or two of a three-drug regimen (IDV, ZDV, 3TC) leads to prompt loss of viral suppression in the plasma. In this trial, it will be determined whether adding hydroxyurea (HU) to a suppressive regimen increases long term viral suppression. Important safety information on the tolerance of HU regimen will be characterized in asymptomatic patients with viral suppression.