To provide a connector for groove members, capable of bringing adjacent groove members into contact continuously by bending them at a desired angle without causing slippage and play, and reducing the extent of exposure of a clearance to be caused between ends of the groove members.

This connector 10 includes a lower plate 20, a front wall 30, a rear wall 40, and an upper plate 50 and forms right and left sides of the upper plate 50 as connection spaces 11, 12 for connecting the groove members 60, 70. The lower plate 20 has loading parts 21, 22 for loading ends of bottom plates 61A, 71A of the groove members 60, 70 arranged in the connection spaces 11, 12 on the right and left ends. The front wall 30 and the rear wall 40 have central fixing parts 31, 41 for fixing central parts with the lower plate 20. Both side parts are constituted as side part variable parts 34, 35, 44, 45 not fixed on the lower plate 20 through easily bendable parts 32, 33, 42, 43, and the upper plate 50 is fixed to upper parts of the central fixing parts 31, 41 of the front wall 20 and the rear wall 30.