Procedure for the thermal hydrolysis of organic matter in steady state, with a double steam explosion and total energy recovery, which consists, as a minimum, of the 1) feeding stage, stepped pressurization and sequential injection of low, medium and high pressure level steam; 2) first stage of hydrolysis by consecutive steam explosion operations with the production of medium pressure level steam and thermal reaction; 3) second stage of hydrolysis consisting of steam explosion and production of low pressure steam. An installation for the implementation of the process, which consists of comprising pumps for stepped pressurization, fluid-steam mixers, valves, mixers, decompression elements, tanks, piping and instrumentation and control systems.