To lubricate the cutter tips without changing the occupation section area of a sheet cutting device by furnishing a lubricant-containing resilient piece, to be pressed by the cutter tip of a rotary blade when it rotates in swinging, in a part of a stationary blade in the range of engaging of the stationary blade tip with the rotary blade tip where the sheet material does not pass.

When the cutter tip 21 of a rotary blade sinks to the downmost position relative to the cutter tip 11 of a stationary blade, the rotary blade tip 211 in the range 9 where the two cutter tips 11, 21 are in direct engagement with each other, is in the pressed condition to such a degree as deflecting concave a resilient piece 6 to 1-2 mm approximately, and lubricant contained in this resilient piece 6 will be applied automatically to the cutter tip 211 of the rotary blade. At the second run of cutting operation, the lubricant will be applied also to the stationary blade tip 111 when the rotary blade edge 211 with lubricant is applied is engaged by the cutter tip 111 in the range where the cutter tips on the stationary blade 1 side are engaged by each other directly. Because the lubricant is spread thinly on the cutter tip line, propagation of tip wear due to direct engagement of cutter tips with each other will be suppressed.