PROBLEM TO BE SOLVED: To provide a cylinder lubrication apparatus requiring a small lubrication oil consumption amount.SOLUTION: A cylinder lubrication device for a large slow running two-stroke diesel engine having in each cylinder a reciprocating piston sliding in a cylinder liner provides the inner surface of the cylinder liners with a precise quantity of lubrication oil for each reciprocation of the piston via a plurality of injection points that are disposed around the circumference of a cylinder, the cylinder lubrication device comprises a plurality of piston pumps having an oiling plunger 30 slidably moving between a start position S and an end position E in an oiling cylinder, and a common drive part 31 including a linear actuator 41 for driving the oiling plungers, the oiling plungers having a predetermined full stroke between the start position and the end position, wherein the diameter of the oiling cylinders is such that the precise quantity is delivered by moving the oiling plungers over a part stroke so that the oiling plungers are moved in part strokes a plurality of times in the direction from the start position towards the end position before the oiling plungers are returned to the start position.