Continuous winding process for rubber strips, particularly used in the manufacturing of tires, to form rubber patties from a rubber sheet continuously extracted from an extruder, the process comprising the following steps: - Continuously depositing the sheet exiting the extruder onto a conveyor belt circulating in a closed loop within an accumulator, the accumulator comprising a first zone for accumulating/discharging the conveyor belt alone, and a second zone for discharging/accumulating the conveyor belt receiving the sheet; - Cutting the sheet at its width into a plurality of rubber strips at the exit of the accumulator; - Continuously unrolling support film strip rolls with widths corresponding to those of the rubber strips; - Positioning each rubber strip onto a support film strip and winding them together, at an initial speed, around a support to form rubber patties; - During the formation time of the patties, supplying empty supports intended to receive rubber patties, and supplying full rolls of support film strips, and attaching the support film strips onto the empty supports intended to receive the rubber patties; - When the rubber patties are finished, stopping the winding of the rubber strips and the support film strips, discharging the conveyor belt alone in the first zone of the accumulator, and simultaneously accumulating the conveyor belt receiving the sheet in the second zone of the accumulator; - While the conveyor belt receiving the sheet accumulates, transversely cutting the rubber strips upstream of the rubber patties, and reattaching the rubber strips coming from the extruder to the empty supports; - Simultaneously, finishing the winding of the free end of the rubber strips and the support film strips around the rubber patties, evacuating said rubber patties, and restarting the winding of each of the rubber strips and the support film strips around the empty supports at a speed higher than the initial speed until the conveyor belt receiving the sheet is discharged in the second zone of the accumulator and simultaneously accumulating the conveyor belt alone in the first zone of the accumulator, then resuming the winding at the initial speed. - Continuously depositing the sheet exiting the extruder onto a conveyor belt circulating in a closed loop within an accumulator, the accumulator comprising a first zone for accumulating/discharging the conveyor belt alone, and a second zone for discharging/accumulating the conveyor belt receiving the sheet; - Cutting the sheet at its width into a plurality of rubber strips at the exit of the accumulator; - Continuously unrolling support film strip rolls with widths corresponding to those of the rubber strips; - Positioning each rubber strip onto a support film strip and winding them together, at an initial speed, around a support to form rubber patties; - During the formation time of the patties, supplying empty supports intended to receive rubber patties, and supplying full rolls of support film strips, and attaching the support film strips onto the empty supports intended to receive the rubber patties; - When the rubber patties are finished, stopping the winding of the rubber strips and the support film strips, discharging the conveyor belt alone in the first zone of the accumulator, and simultaneously accumulating the conveyor belt receiving the sheet in the second zone of the accumulator; - While the conveyor belt receiving the sheet accumulates, transversely cutting the rubber strips upstream of the rubber patties, and reattaching the rubber strips coming from the extruder to the empty supports; - Simultaneously, finishing the winding of the free end of the rubber strips and the support film strips around the rubber patties, evacuating said rubber patties, and restarting the winding of each of the rubber strips and the support film strips around the empty supports at a speed higher than the initial speed until the conveyor belt receiving the sheet is discharged in the second zone of the accumulator and simultaneously accumulating the conveyor belt alone in the first zone of the accumulator, then resuming the winding at the initial speed.