The invention discloses a conical curve drawing device which can draw parabolas, ellipses and hyperbolas. When conical curve drawing is needed, the angle between an L-shaped mechanism and a base guide rail is set first according to the eccentricity of a conical curve, the acute angle between the base guide rail and an x guide rail is set to be theta, the base guide rail is fixed, and focal points are fixed; the L-shaped mechanism is pushed along the base guide rail, a rack 2 fixed with an x slider move a distance of delta y in the direction of a y guide rail, the distance of delta y is transmitted to a rack 1 through a gear, and the length of delta y is increased by the distance between a pencil to the focal points; a straight rod fixed with a y slider moves a distance of delta x in the direction of the x guide rail, that is to say, the length of delta x is increased by the distance between the pencil to the directrix of the drawn conical curve; due to the fact delta y/delta x=tan theta is of a certain value, ratio of the distance from the pencil to the focal points to the distance from the pencil to the directrix of the drawn conical curve is constant and equal to tan theta, conformation to the definition of the double curve is achieved, and drawing of the parabolas, the ellipses and the hyperbolas is achieved.