Method for wrapping an object by means of a hot sheet of heat-shrinking material, in which said hot sheet is wrapped in the manner of a sleeve around the object to be wrapped, in which said hot sheet is obtained by a continuous tape of heat-shrinking material, said method comprising the steps of: a) heating a downstream portion of the continuous tape of heat-shrinking material to a first temperature, which is lower and/or little lower than a temperature which would not allow the cutting of said tape; b) cutting said heated and hot downstream portion of the continuous tape, in order to obtain a hot sheet (100.S1) of heat-shrinking material having a desired longitudinal length; c.1) heating said last hot sheet (100.S1) of heat-shrinking material to a second temperature, which is little lower than the softening and/or shrinking temperature of the heat-shrinking material, in order to obtain a hot sheet (100.S2) having a temperture little lower than the softening and/or shrinking temperature of the shrinking material; c.2) heating said last hot sheet (100.S2) of heat-shrinking material to a third temperature, in which said third temperature is equal or greater than the softening and/or shrinking temperature of the heat-shrinking material, in order to obtain a hot sheet (100.S3) having a temperture equal or greater than the softening and/or shrinking temperature of the heat-shrinking material; d) wherein said last hot sheet (100.S3) of heat-shrinking material having a temperature equal to or greater than the softening and/or shrinking temperature of the heat-shrinking material is wrapped around the object to be packaged, in which said wrapping comprises a front portion ( 100.S3a ) and a rear portion ( 100.S3b ) of said last heated and hot sheet (100.S3) overlapping one another. a) heating a downstream portion of the continuous tape of heat-shrinking material to a first temperature, which is lower and/or little lower than a temperature which would not allow the cutting of said tape; b) cutting said heated and hot downstream portion of the continuous tape, in order to obtain a hot sheet (100.S1) of heat-shrinking material having a desired longitudinal length; c.1) heating said last hot sheet (100.S1) of heat-shrinking material to a second temperature, which is little lower than the softening and/or shrinking temperature of the heat-shrinking material, in order to obtain a hot sheet (100.S2) having a temperture little lower than the softening and/or shrinking temperature of the shrinking material; c.2) heating said last hot sheet (100.S2) of heat-shrinking material to a third temperature, in which said third temperature is equal or greater than the softening and/or shrinking temperature of the heat-shrinking material, in order to obtain a hot sheet (100.S3) having a temperture equal or greater than the softening and/or shrinking temperature of the heat-shrinking material; d) wherein said last hot sheet (100.S3) of heat-shrinking material having a temperature equal to or greater than the softening and/or shrinking temperature of the heat-shrinking material is wrapped around the object to be packaged, in which said wrapping comprises a front portion ( 100.S3a ) and a rear portion ( 100.S3b ) of said last heated and hot sheet (100.S3) overlapping one another. <EOS>