Ozil set up Castro with a superb pass for the first goal, in the 23rd minute, and scored with a 30-yard free kick three minutes after halftime.
Wagner finished an Ozil pass with 11 minutes left and scored again in the 89th minute to secure the most decisive win in a final of the U-21 European Championship.
June 29 in Malmo
Germany 4 England 0
Goals: Castro 23, Ozil 48, Wagner 79, 84.
Germany -- Neuer, Beck, Howedes, Boateng, Boenisch, Hummels (Aogo 83), Johnson (Schwaab 68), Castro, Khedira, Ozil (Schmelzer 89), Wagner.
England --Loach, Cranie (Gardner 80), Richards, Onuoha (Mancienne 46), Gibbs, Cattermole, Muamba (Rodwell 77), Noble, Milner, Walcott, Johnson.
Referee: Bjorn Kuipers (NED).