The Rules of Functioning of the Spanish Committee for Mathematics establish that its governing bodies are the General Council and the Executive Committee.

The Executive Committee consists of two representatives of RSME, two representatives of SCM, two representatives of SEMA, two representatives of SEIO, one representative of SEIEM, and one representative of FESPM.

The General Council is made up of the members of the Executive Committee plus the Chairperson and Secretary of each Commission, the President of the Spanish Conference of Deans of Mathematics, and three representatives of the Ministry of Education and Science of Spain.