A surgical incise drape of the invention comprises: an essentially transparent or translucent extensible film having opposite first and second major surfaces and opposite first and second side edges; a pressure-sensitive adhesive adhered to at least a major portion of the first major surface of the extensible film; an extensible carrier removably adhered to the second major surface of the extensible film and extending past the first and second side edges of the extensible film to provide gripping portions for facilitating wrinkle-free application of the drape to a patient; and, optionally, a release liner adhered to the pressure-sensitive adhesive opposite the extensible film. Methods of applying such surgical incise drapes to a surgical site on a patient's body are also disclosed.