A method is presented to trap and deliver chicken red blood cells by using evanescent wave around an optical nanofiber. The nanofiber is fabricated by drawing a standard telecommunication single mode optical fiber through a flame-heated treatment. The nanofiber has a diameter of 700 nm, with one end connected to an 808 nm laser source, leading to an extremely low insertion loss. The nanofiber is immersed in a solution of chicken red blood cells. The experimental result shows that, when the injected optical power is increased to 50 mW, the red blood cells near the nanofiber can be captured by optical gradient force and then delivered along the direction of light propagation due to the scattering force induced by the evanescent optical field. The calculated delivery velocity is 2.9 μm/s. By further experimental analysis, it is found that the velocity of red blood cells is linearly dependent on the input power. This technique could find some potential applications in trapping and manipulation of biological cells and virus.