An enveloping device for enveloping a bale with an enveloping material for a baler includes a supply of the enveloping material. The supply is configured to feed the enveloping material to a pressing chamber of the baler through a feed gap. A braking device is provided for the enveloping material. The braking device is configured such that it has an effect that the enveloping material assumes an at least substantially predetermined position with respect to the pressing chamber of the baler to at least one working means of the baler or to the bale at either an end or a start of an enveloping operation.