Simple answer: never.
An air war called the Battle of Britain between 10 July 1940 and 31 October 1940 prevented Operation Sealion from taking place. Germany failed to defeat the RAF and Fighter Command and was forced to scrap the planned invasion of Britain.
Germany attacked England, but did not invade it during WW2. Germany did have plans to invade, if its air offensive had worked. The English name for the German invasion plan was "Operation Sealion".
Germany never invaded the island of Great Britain proper. The closest they got was capturing several of the Channel Islands that are British territory close to the French coast in the English Channel.
The reason they never invaded in 1940-41 was because the Luftwaffe could not destroy the British RAF and gain air superiority that was needed in order to invade. Hitler got tired of waiting and turned his attentions East in June 1941. One factor of the Luftwaffe inability to take control over the skies of England was that the Raf had a fresh supply of pilots from all over the world. Not only the British commonwealth but as far away as Canada, India, and even black pilots from the U.S. while the Luftwaffe pilots had very little relief.
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The planned invasion was postponed on 17(?) September 1940 and not seriously revived, though it wasn't completely abandoned till February 1943 - a few days after the Germans were defeated at Stalingrad.
Basically, Hitler attempted to invade Britain with operation Sea lion, he sent his bombers and fighter planes to Britain in order to destroy the RAF. The only reason Hitler couldn't invade in the first place was because of Britain's air force so he needed to destroy it. The German planes came over and we sent our RAF lads up there with them and they had a series of violent dog fights. This was called the Battle of Britain. In the end, the Germans lost by losing the most amount of planes and went home. After that Hitler bombed various cities in Britain in the Blitz and after that never again tried to invade.
It forced the Germans to fight the war on two fronts.
The D Day was the day when the marines invaded Normandy to defeat the Germans.
Principally the US Britain & Canada. Oh and the Germans ! & the liberated French.
The significance of D Day was that it marked the first Allied Troops on the ground in Europe. This was the beginning of the end for the Germans.
D Day is from World War II. The Normandy Landings on the coast of France were the landing operations of the Allied invasion against the Germans during World War II. The landings commenced on Tuesday, 6 June 1944 (D-Day). In planning, D-Day was the term used for the day of actual landing.