Until 1926, he attended a Realgymnasium in Cologne, but left without graduating for financial reasons, instead completing a gardener's apprenticeship at the Jürgl wholesale nursery in Sürth [de] from 1927, where he was already making small planting drafts.
From 1931, he studied at the Königliche Gärtnerlehranstalt am Wildpark bei Potsdam [de] in Berlin-Dahlem, among others with the influential perennial gardener Karl Foerster.
During the Second World War, Weber was drafted for military service, which he performed as a medic in Russia, among other places.
After the war, Weber moved with his office to Düsseldorf, where he created numerous public and private gardens.
Weber lived alone and in seclusion; he died in 1997 at the age of 88 from the late effects of a fire accident in his own house.