The invention relates to a battery diaphragm material and a battery with a corresponding diaphragm. The battery diaphragm material at least comprises two layers of materials, which are composited together, wherein a layer of material is obvious in fiber orientation arrangement, and the other layer of material is small in aperture size but large in porosity and is of a three-dimensional network structure; the two layers of materials are composited through a non-hot-rolling process; the surface density of the battery diaphragm material is 40g/m<2> to 100g/m<2>, the alkaline absorption speed of the material is 8cm/30min to 15cm/30min, and the alkaline absorption rate of the material is 300 to 500 percent; the statistical value of an average fiber orientation angle of the material obvious in fiber orientation arrangement is less than 30 degrees; the surface density of the material, which is small in aperture size but large in porosity and is of the three-dimensional network structure, is 20g/m<2> to 60g/m<2>, the aperture of the material is 0.5 to 30 microns, and the porosity of the material is 75 to 95 percent. The battery comprises a positive plate, a negative plate, an alkaline electrolyte, and the battery diaphragm between the positive plate and the negative plate. The specific discharge capacity of the battery is more than 280mAh/g, and the discharge capacity retention ratio of the battery is more than 70 percent.