An anchor driver for mounting a ligament anchor and turning it into a bone, which ligament anchor includes a suture attached to a rear end that is maintained in a driver body until the anchor driver is pulled off of the ligament anchor seated in the bone. The driver body is preferably a rigid straight tube that includes an anchor mount disposed on a forward end whereto the ligament anchor is fitted. So arranged, a suture, that is disposed on the ligament anchor coupling end, will extend therefrom as a suture strand or strands that are fitted through the anchor mount, to pass through the driver body and are then bent to double back upon themselves and fitted back into the driver body. For maintaining the suture strand or stands in a straight attitude, in one embodiment a resilient cap is provided that has a hole or slot formed therein wherethrough the suture strand bend or bends are fitted into a cavity within the cap, which cap is then fitted over the driver body open end. With, in another embodiment, a grommet and thin walled tube are disposed end to end in the driver body wherethrough the suture strand or strands are fitted that are then bent to double back alongside the tube, and are maintained within the driver body, which driver body then receives a cap fitted over an open rear end thereof.