A method for manufacturing highly reliable batteries includes the steps of placing in a battery container an electrode assembly; arranging an upper current collecting plate to be electrically connected to one of the electrodes of the electrode assembly; bringing a lead previously welded to the inner surface of a lid in contact with the upper current collecting plate; and welding the points of contact between the lead and the upper current collecting plate. Also batteries are produced by the method, and a method for inspecting battery including the steps of detecting defective welds by measuring alternating-current resistance of a battery.