A diese fuel composition containing a major proportion of at least one diesel fuel and a minor proportion of at least one glycerol acetal carbonate of the formulae: in which: R1 and R2 each represent a hydrogen atom, a hydrocarbon radical with 1 to 20 carbon atoms that is aliphatic, cycloaliphatic or aromatic, an alkyl-ether chain, whereby R1 and R2 together can form an oxygenated heterocyclic radical; R3 is a radical that is defined as R1 or R2, except for the hydrogen atom, or a radical of the formula: where R1 and R2 are defined as above.