A device for connecting bony portions, such as a dynamic intervertebral connection device, includes a female member (2) having a cavity (5) and intended to be connected to a first bony portion, a male member (1) articulated in the cavity (5) and intended to be connected to a second bony portion, the male member (1) having a lateral articulation surface (13) coacting with a lateral surface (6a) of the cavity (5) to guide movements of inclination of the male member (1) relative to the female member (2), and resilient elements (8) arranged to exert an action countering the inclination movements. The resilient elements (8) are disposed in a recess (10) of the male member (1) delimited laterally by a surface (12) that is opposite the articulation surface (13).