The invention lies in thickening and clear aqueous compounds containing at least 2 non-ionic surfactants, and at least 1 polyurethane compound consisting of at least one grouping of the alkyl or aryl or aryalkyl type, or a blend of these groupings, of at least one grouping of the polyalkylene glycol type, and of at least one isocyanate grouping chosen from among 1-decyl isocyanate, 1-dodecyl isocyanate, mirystyl isocyanate, palmityl isocyanate, stearyl isocyanate, 1,4-butane di-isocyanate, 1,6-hexane diisocyanate, the cycloaliphatic diisocyanates, isophorone diisocyanate, 1,3- and 1,4-cyclohexane diisocyanate, 4,4&prime diisocyanatodicyclohexylmethane, 1-methyl-2,4-diisocyanatocyclohexane and its blend with 1-methyl-2,6-diisocyanatocyclohexane, hexamethylene diisocyanate biuret, hexamethylene diisocyanate trimer, isophorone diisocyanate trimer, and their blends. The invention also consists in their use to thicken acidic aqueous formulations, whilst maintaining their clear character. Clear acidic aqueous formulations thickened in this manner constitute a final object of the invention.