A non-woven fabric with elasticity in warp direction and a manufacturing method thereof are provided, including: a feeding step, feeding the non-woven fabric into a location between the difference gears and suction gears in an overfeeding manner; a wave forming step, entering the non-woven fabric to a location between the differential gears and the suction gears, thereby forming wavy folds; a fixing step, providing a suction force through suction holes of the suction gears to make the non-woven fabric closely fit outer surfaces of the suction gears, and fix the wavy folds; a press-flattening step, press-flattening the wavy folds; a preheating step, heating the non-woven fabric to soften it; a broadening step, stretching the non-woven fabric in a weft direction and making it be oriented, and straightening the wavy folds at the same time; a stabilizing step; and a cooling step, cooling the non-woven fabric to set it.