Abstract: The invention relates to a device for cleaning a submerged surface comprising water jet propulsion means (19) that generate a propelling water jet, and means (19-23) for orienting the propelling water jet that allow orienting said water jet in two opposing so-called longitudinal propulsion directions, capable of imparting to the cleaning device two opposing directions of movement along an axis of movement (y). In the invention, the means (19-23) for orienting the propelling water jet are suitable for orienting the water jet in at least one third, so-called lateral propulsion direction, in which the water jet is oriented in a bisecting direction relative to the axis of movement (y) suitable for exerting a force capable of causing the cleaning device to pivot by oversteering.