An acrylic-fiber finish for use in carbon-fiber production contributes to high tenacity of resultant carbon fiber. The acrylic-fiber finish for carbon-fiber production includes an epoxy-polyether-modified silicone and a surfactant. The weight ratios of the epoxy-polyether-modified silicone and the surfactant in the total of the non-volatile components of the finish respectively range from 1 to 95 wt % and from 5 to 50 wt %. The carbon fiber production method includes a fiber production process for producing an acrylic fiber for carbon-fiber production by applying the finish to an acrylic fiber which is a basic material for the acrylic fiber for carbon-fiber production; an oxidative stabilization process for converting the acrylic fiber produced in the fiber production process into oxidized fiber in an oxidative atmosphere at 200 to 300 deg.C.; and a carbonization process for carbonizing the oxidized fiber in an inert atmosphere at 300 to 2,000 deg.C.