NOVELTY - A separator (10) has a porous coating layer coated on the surface of a porous substrate (1a). The coating layer comprises mixture of binder containing cross-linked binder (5), and inorganic particles (3). The cross-linked binder is obtained by cross-linking polymer having two reactive groups and/or low molecule having two reactive groups using a cross-linking agent.    USE - Separator for electrochemical device (claimed) such as primary batteries, lithium secondary batteries, fuel cells, solar cells and capacitors such as super capacitors.    ADVANTAGE - The separator is insoluble with respect to the electrolyte, has improved dimensional stability at high temperature and enables easy assembling of the electrochemical device. The electrochemical device having improved high temperature cycle characteristics is provided.    DETAILED DESCRIPTION - A separator (10) has a porous coating layer coated on the surface of a porous substrate (1a). The coating layer comprises mixture of binder containing cross-linked binder (5), and inorganic particles (3). The cross-linked binder is obtained by cross-linking polymer having two reactive groups and/or low molecule having two reactive groups using a cross-linking agent. The binder consists of cross-linked binder and non-cross-linked binder. The non-cross-linked binder is chosen from polyvinylidene fluoride-co-hexafluoropropylene, polyvinylidene fluoride-co-trichloroethylene, polymethylmethacrylate, polyacrylonitrile, polyvinylpyrrolidone, polyvinylacetate, polyethylene-co-vinyl acetate, polyethylene oxide, cellulose acetate, cellulose acetate butyrate, cellulose acetate propionate, cyanoethyl pullulan, cyanoethyl polyvinyl alcohol, cyanoethyl-cellulose, cyanoethyl sucrose, pullulan, carboxyl methyl cellulose, acrylonitrile-styrene-butadiene copolymer and/or polyimide. The porous substrate consists of non-woven fabric made of polyethylene terephthalate, polybutylene terephthalate, polyester, polyacetal, polyamide, polycarbonate, polyimide, polyetheretherketone, polyethersulfone, polyphenyleneoxide, polyphenylenesulfide and/or polyethylene naphthalene. An INDEPENDENT CLAIM is included for manufacture of the separator.    DESCRIPTION OF DRAWING(S) - The drawing shows the sectional view of a separator.    Substrate (1a)    Inorganic particles (3)    Cross-linked binder (5)    Separator (10)