An intervertebral implant for insertion into an intervertebral disc space between two adjacent vertebral bodies of a human or animal spine. The intervertebral implant has an implant top side, which defines a first vertebral body abutment face for abutting against a first vertebral body, and an implant bottom side, which defines a second vertebral body abutment face for abutting against a second vertebral body. The intervertebral implant comprises a frame structure with at least two support elements. The at least two support elements extend from the implant top side to the implant bottom side. The at least two support elements define support element longitudinal axes, which run transversely, in particular perpendicularly, to the first and/or second vertebral body abutment face.