A non-woven fabric which is excellent in thermal resistance, mechanical strength, and thermal dimensional stability for applications exposed to high temperature circumstance and has an extremely large surface area and exhibit an excellent filter performance is obtained. The non-woven fabric is composed of polyimide fibers which are obtained by polycondensation of at least an aromatic tetracarboxylic acid and an aromatic diamine having a benzoxazole structure and have a fiber diameter in the range of 0.001 μm to 1 μm. The non-woven fabric is obtained by the steps of preparing a polyamic acid by polycondensation of an aromatic tetracarboxylic acid and an aromatic diamine having a benzoxazole structure, and electro-spinning the polyamic acid to form a polyimide precursor non-woven fabric; and imidizing a polyimide precursor fiber bundle.