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We propose a mechanism of nodeless d-wave superconductivity in aquasi-one-dimensional organic superconductor under anion order. It is shownthat split of the Fermi surfaces due to the anion order eliminates the linenodes of a d-wave gap function on the Fermi surfaces, and a small finite energygap appears in the quasi-particle excitations of superconductivity. We discussthat temperature dependences of thermal conductivity and NMR relaxation rateobserved in a quasi-one-dimensional organic superconductor (TMTSF)2ClO4 can beexplained consistently by the small energy gap.Comment: 4 pages, 4 figures, (Latex, revtex.sty, epsf.sty

Nodelessd-wave superconductivity in a quasi-one-dimensional organic superconductor under anion order