Process for the production of an assembly having several magnetic heads and multiple head assembly obtained by said process. Production takes place of a first substrate (60) with first pole pieces (621, 622) and a second substrate (70) with second pole pieces (721, 733) and magnetic connectors (741, 742). One of the substrates is reversed and engaged on the other. The second substrate is thinned out so that the two pole pieces (721, 722) and the magnetic connectors (741, 742) are level or almost level. The assembly is completed by forming on the second thinned out substrate, magnetic circuit closing means and conductor coils. Application to the production of multiple magnetic head assemblies.