The equipment (1) comprises an intervertebral implant (2), designed to be inserted between the bodies of two vertebrae (100), and screws (3) for immobilizing the implant (2) in relation to the vertebrae (100), the implant (2) forming two respective bearing surfaces (6, 7) for the bodies of the vertebrae (100) and comprising engagement holes (8, 9) adjusted to at least one first screw (3) and at least one second screw (3); the axis of at least one first hole (8), oriented on the side of a first of said bearing surfaces (6), forms a first angle in the sagittal plane with a horizontal median plane (P) of the implant (2), and the axis of at least one second hole (9), oriented on the side of the second of said bearing surfaces (7), forms a second angle in the sagittal plane with that same horizontal median plane (P) of the implant. According to the invention, said first angle is from 40° to 50°, and-said second angle is from 20° to 30°.