1. A composition for dyeing keratinous fibers, comprising: - one or several oxidation dye, - one or more alkalizing agents, - one or more neoksialkilenirovannyh fatty substances that are liquid at room temperature selected from C Suglevodorodov, hydrocarbons containing more than 16 carbon atoms, non-silicone oils of animal origin, oils of triglyceride type, synthetic triglycerides, fluorocarbon oils, fatty alcohols, fatty acid esters and / or fatty s alcohols other than triglycerides, and silicones, as well as mixtures thereof with the content which is less than or equal to 20% relative to the total weight of the composition, - one or more oxidizing agents, - one or more oxyethylenated fatty alcohols with the number of oxyethylene groups is greater than or equal to 10, - one or more fatty alcohols oxyethylenated with a number of oxyethylene groups is less than 10, - one or more neoksietilenirovannyh fatty alcohols which are solid at room temperature, u is one or more cationic by limerov.2. Composition according to claim. 1, characterized in that the alkalizing agent is selected from aqueous ammonia, alkaline carbonates, sodium hydroxide, potassium hydroxide, organic amines and compounds of formula (I) wherein W is a C-Salkilenovy residue optionally substituted with a hydroxyl group or a C -Salkilnym radical Rx, Ry, Rz, and Rt, which may be identical or different, represent a hydrogen atom or a C-Salkilny, C-C-or Sgidroksialkilny Saminoalkilny radical, and is preferably selected from aqueous ammonia and alkanolamines, especially monoethanol