In a capacitor structure and a method of manufacturing the capacitor structure, first and second conductive patterns are formed on a substrate. The first and second conductive patterns extend in a first direction. The first and second conductive patterns are alternately arranged to be spaced apart from one another in a second direction substantially perpendicular to the first direction. An insulating interlayer is formed on the substrate to cover the first and second conductive patterns. Third and fourth conductive patterns extending in a third direction lying at an angle of between about 0° and about 90° relative to the first direction are formed on the insulating interlayer. The third and fourth conductive patterns are alternately arranged to be spaced apart from one another in a fourth direction substantially perpendicular to the third direction.