The design, fabrication, and testing of conical laser fusion targets is described. These are DT‐filled conical holes in lead, 190 &mgr;m deep and covered with a 132‐&mgr;m‐diam plastic cap. The results of two‐dimensional simulations of the cones are displayed. Experimentally, up to 2.8×105neutrons have been obtained from the exploding pusher implosion of such a target under single‐beam CO2illumination of the cap at 0.13 TW.