Abstract: A highly reliable rechargeable battery comprising an anode, a cathode, a separator positioned between said anode and said cathode, and an electrolyte or an electrolyte solution disposed so as to contact with said anode and said cathode, characterized in that said anode is provided with an anode active material-retaining body comprising (a) an electrically conductive material and (b) an insulating or semiconductor material having a property of allowing an ion dedicated for a battery reaction to pass through but not or substantially not allowing an anode active material deposited upon operating charging to pass through, and said anode active material-body having a number of pores distributed therein at a porosity rate of 10% or more.