The invention relates to a slurry hydro-conversion method of a heavy hydrocarbon feedstock in the presence of hydrogen and at least one dispersed solid catalyst, wherein the dispersed solid catalyst is obtained from at least one of Strandberg, Keggin, absent Keggin or substituted absent Keggin structure, and molybdenum and at least one metal heteropoly acid anion salt selected from cobalt and nickel are combined in the dispersed solid catalyst.