A machining curve creating apparatus create curve of a tool used to machine a workpiece by repeating a procedure of taking, as a partial point sequence, a part of a point sequence expressing the tool path and generating a partial curve. The machining curve creating apparatus includes stored-information-utilized curve generating unit for generating a partial curve utilizing segmented curve information. When curve information utilization determining unit determines to utilize the stored information, the stored-information-utilized curve generating unit generates a partial curve.