In a valve-moving apparatus for a V-type multi-cylinder internal combustion engine in which plural rows of cylinders are disposed at predetermined angle relative to a crank shaft, cam shafts having cams disposed offset according to the plural rows of individual cylinders are provided, and fluid supply means provided on the cylinder head for supplying hydraulic pressure to a cooling passage, a lubricating passage, or change-over means of the valve-moving mechanism of variable valve operation condition is disposed in a space formed between the cylinder rows or in a space formed by cam shafts disposed offset along the crank shaft axial direction.