Disclosed is a method of delivering a fine particle dispersion in the state of laminar flow from an inlet port to an outlet port of a microflow channel having the inlet port and the outlet port, the fine particle dispersion containing fine particles having a volume average particle size of from about 1.5 .mu.m to about 1000 .mu.m dispersed in its liquid medium, the specific gravity of the fine particles being from approximately 0.10 to 0.99 times that of the liquid medium, wherein the microflow channel is disposed such that the outlet port is disposed above the inlet port in the buoyant force direction, and the angle of the flow channel from the inlet port to the outlet port is set to from approximately 0 to 45.degree. relative to the buoyant force direction, and wherein the fine particle dispersion is introduced into the inlet port and the introduced fine particle dispersion is delivered to the outlet port. Also disclosed is a device for delivering the fine particle dispersion.