An apparatus for vacuum packing a product (1) in a flexible enclosure (2) therefor, the apparatus comprising means (6, 7) for evacuating air from within the unsealed enclosure (2), the product (1) being disposed within the unsealed enclosure (2), means (18, 19) for restraining sealable meeting portions (3a, 3b) of the unsealed enclosure (2), during the said evacuation of air, in a configuration whereby the said sealable meeting portions (3a, 3b) can be sealed without substantial rucking thereof and means (33, 34) for sealing the sealable meeting portions (3a, 3b) of the unsealed enclosure (2) in an airtight manner in the said configuration thereof, after the said evacuation of air.