The process according to the invention, for producing sugar products from fruits, comprising the steps of:i) demineralizing and decolorizing a fruit juice so as to bring its solid content to comprise from 99% wt to 99,99 % wt of a mixture of saccharides, alcohols and flavonoidsiii) separating by chromatography the demineralized and decolorized fruit juice so as to obtain a glucose-enriched fraction or a fructose-enriched fraction from the fruit juice.The solid content of the glucose-enriched fraction comprises at least from 70% wt to 99.99% wt of glucose the solid content of the fructose-enriched fraction comprises from 70% wt to 99.99% wt of fructose.The low content of anions and cations of the fruit juice to be treated by chromatography greatly increase the yield of the chromatographic treatment and the purity of the glucose- and fructose-enriched fractions obtained through it.