A flexible implant system includes a flexible implant, an implant housing, and an implant set screw. The flexible implant is configured to loop around a portion of a bony element. The implant housing includes a housing body defining a rod passage configured to receive an rod. The housing body also defines an implant passage that receives a portion of the flexible implant. The implant set screw engages the flexible implant within the implant passage to fix the flexible implant to the implant housing.