A device for transporting a child in a child seat includes a main frame for supporting the child seat, a swivable push bar for pushing the main frame from different sides, and pivotable wheels or wheel sets for supporting the main frame whereby the wheels or wheel sets are provided with pivot locks and brakes. The push bar has a brake handle for activating the brakes and the device includes a mechanism for activating the pivot locks of the wheels or wheel sets under the push bar and for simultaneously coupling only the brakes on these wheels or wheel sets with the brake handle.