The invention refers to a movable apparatus (3) and method for wrapping an object (B) and for depositing the wrapped object on the ground. The wrapping apparatus is moved over ground in a travelling direction (TD) with a travelling velocity (v). The object is placed onto an object supporting device (15). An object rotating device (10.f, 10.r) rotates the object being carried by the object supporting device. Thereby the carried and rotated object (B) is wrapped into a web of wrapping material. This web is taken from a reservoir (22) held by a reservoir holder. The wrapped object is placed on the ground. The rotational velocity (ω_B) with which the object on the object supporting device is rotated depends on the travelling velocity (v) of the wrapping apparatus. Thereby the risk is reduced that the wrap around the object is damaged when placing the object on the ground.