A method of making special cokes according to which a mixture of from 50-90% by weight of an atmospheric distillation residue of a petroleum, e.g. a Pannonian petroleum, with a density of from 0.935-0.965 grams per cubic centimeter, a viscosity of from 2.8.degree.-4.3.degree. Engler at 100.degree.C, a sulfur content of from 0.85-1.10%, a coke value according to Conradson of from 5-7 %, an aromatics content of from 40-60%, an asphalt content below 1.8% with a boiling component of less than 20% within the temperature range of from 250.degree.-350.degree.C, and a content in ash forming elements of less than 0.05% is coked together with from 10-50% by weight of a catalyst-free catalytic residue obtained by catalytic cracking of a distillate low in ashes, e.g. gas oil, which last mentioned residue has a density of from 0.90-0.95 grams per cubic centimeter, a viscosity of from 2.5.degree.-3.2.degree. Engler at 50.degree.C, a sulfur content less than 0.6%, a coke value according to Conradson of from 3.5-4.5%, an aromatics content of more than 35%, an asphalt content of less than 0.6%, and boiling components of from 8 to 12% for the range of from 250.degree.-300.degree.C and from 30-40% within the temperature range of from 300.degree.-350.degree.C in a 24 to 48 hour cycle at temperatures of from 475.degree.-515.degree.C and at a pressure of from 3-7 atmospheres above atmospheric pressure at a high recycling ratio.