The executive committee of iRHiST is composed of representatives from the various teams that constitute the network and individuals.

Currently, an ad hoc committee has been established. It is composed of the following individuals : Charlotte Bigg (CAK), Cécilia Bognon-Küss (SND), Guillaume Carnino (UTC), Renaud Debailly (GEMASS), Joëlle Ducos (SITH), Rémi Gaillard (ABC), Alexandre Guilbaud (IMJ-PRG), Néstor Herran (OSU Ecce Terra), Stavros Lazaris (Orient & Méditerranée), Amandine Péquignot (PALOC), Loïc Petitgirard  (HT2S), Jean-Baptiste Rauzy (SND), Christophe Schmit (SYRTE), et Benjamin Thierry (Sirice).