A spine stabilization device having an interbody spacer shaped to be inserted between a vertebral body of an upper vertebra and a vertebral body of a lower vertebra. The device further includes a fixation device to be inserted after placement of the interbody spacer, the fixation device having a support portion securing the interbody spacer against escaping from between the vertebral bodies into a ventral direction. The support portion rests against a portion of an anterior surface of the interbody spacer, and includes an anchor. The anchor has an anchoring material portion that is inserted, in a liquid state, into cancellous bone tissue of at least one of the vertebral bodies of the upper and lower vertebra, to thereby infiltrate the cancellous bone tissue, and to harden thereafter so as to fix the support portion to the vertebral body.