The invention concerns a production method which consists in forming a reaction medium containing 2,2,4,4,-tetramethyl-3-pentanone, hydrogen peroxide, ammonia and a zeolitic structure catalyst and allowing the reaction to obtain said oxime. 2,2,4,4,-tetramethyl-3-pentanone and hydrogen peroxide can be obtained by auto-oxidation of 2,2,4,4,-tetramethyl-3-pentanol with oxygen or air. Hydroxylammonium salts are obtained by acid hydrolysis of said oxime.