A side airbag arrangement for a vehicle occupant restraint system includes an airbag which is provided for the protection of a vehicle occupant and which has at least two inflatable chambers which are in each case to assume a specific position in a motor vehicle after inflation. A functional band is provided, which is secured by a portion outside the airbag. At least a portion of the functional band exerts on at least one of the chambers of the airbag a holding force, which has the effect that the chamber, after inflation, assumes the position provided for the chamber.