Disclosed herein is an apparatus and method for deforming a curved surface using a three-dimensional target curve. The curved surface deformation apparatus of the present invention includes object curved surface selection means, sample vertex extraction means, basis function calculation means, target curve input means, control point variation calculation means, and object curved surface deformation means. The object curved surface selection means selects all or part of the curved surface of the NURBS model. The sample vertex extraction means extracts a plurality of vertexes from the object curved surface. The basis function calculation means calculates a basis function of the object curved surface. The target curve input means inputs a target curve, composed of a plurality of target. The target curve projection means projects the target curve onto the object curved surface. The control point variation calculation means individually interpolates variation values ranging from projection points of the object curved surface corresponding to the target points, calculates variation values of sample vertexes, and calculates variations of control points using the calculated variation values and a pseudo-inverse matrix of the basis function. The object curved surface deformation means deforms the object curved surface on the basis of the calculated variations of the control points.