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We present a search for associated Higgs boson production in the process pp̅ → WH → WWW*→ l±νl′±ν′ +X in final states containing two like-sign isolated electrons or muons (ℯ±ℯ±, ℯ±μ±, or μ±μ±). The search is based on D0 run II data samples corresponding to integrated luminosities of 360–380 pb-1. No excess is observed over the predicted standard model background. We set 95% C.L. upper limits on σ(pp̅→WH) × (Br(H→ WW*) between 3.2 and 2.8 pb for Higgs boson masses from 115 to 175 GeV.