A secondary battery includes a positive electrode, a negative electrode containing a metal compound having a lithium ion absorption potential of 0.2V (vs.Li/Li+) or more, a separator and a nonaqueous electrolyte. The separator is provided between the positive electrode and the negative electrode. The separator comprises cellulose fibers and pores having a specific surface area of 5 to 15 m2/g. The separator has a porosity of 55 to 80%, and a pore diameter distribution having a first peak in a pore diameter range of 0.2 μm (inclusive) to 2 μm (exclusive) and a second peak in a pore diameter range of 2 to 30 μm.