A method of packaging by wrapping and a wrapping machine (20), in which method a top film (64) is cut into a top film sheet (65) and pulled on top of a top film carrier (54) turned upside down, to a position above the object being packaged (31). After this the carrier and the top film held in place by means of suction nozzles (55) are turned around and pressed with the help of the pressing device (53) onto the object being packaged. During the first stage of wrapping, the edges of the top film sheet are held up by means of the suction nozzles of the carrier and plastic film web is wrapped around the article being packaged from bottom to top. After this, the edges of the top film sheet are pressed down by means of blow nozzles, and plastic film web is also wrapped on top of the edges of the plastic film sheet.