A lead-free gasoline composition reduced in sulfur content while ensuring sufficient driving performance; a process for producing the composition; and a process for producing a low-sulfur cracked-gasoline base suitable for preparing the gasoline composition. The process for producing a low-sulfur cracked-gasoline base is characterized by comprising: a step (A) in which cracked-gasoline fractions are obtained; a step (B) in which a heavy cracked-gasoline fraction obtained in the step (A) is hydrodesulfurized; a step (C) in which the whole or part of a light cracked-gasoline fraction obtained in the step (A) and/or the whole or part of the heavy cracked-gasoline fraction reduced in sulfur content obtained in the step (B) is subjected to sorption desulfurization; and a step (D) in which the cracked-gasoline fractions obtained in the steps (A) to (C) are mixed together to obtain a low-sulfur cracked-gasoline base having a specific sulfur content and a specific octane value.
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