Abstract: The invention relates to a calcinated catalyst for converting paraffinic hydrocarbon into corresponding olefin through dehydrogenation. The catalyst is an oxidic, heat-stable carrier material and contains a catalytic active constituent, which is applied on the carrier material and has the following composition (in wt. % in relation to the entire weight of the catalyst): a) 0.2 to 2.0% of at least one element of the groups Pt and Ir and, acting as a promoter, a combination of elements from the six following groups of substances: b) 0.2 to 5.0% of at least one of the following elements Ge, Sn, Pb, Ga, In, Tl; c) 0.1 to 5.0% of at least one of the following elements Li, Na, K, Rb, Cs, Fr; d) 0.2 to 5.0% of at least one of the following elements Fe, Co, Ni, Pd; e) 1.0 to 5.0% P; f) 0.2 to 5.0% of at least one of the following elements Be, Mg, Ca, Sr, Ba, Ra and lanthanides and g) 0.1 to 2.0% Cl.