The aircraft, piloted by Squadron Leader Hugh Nichols, was accompanied by two other F-35Bs from the United States Marine Corps.
They touched down at RAF Fairford in Gloucestershire just before 20:00 BST on Wednesday, watched by aviation enthusiasts waiting outside the base.
The supersonic jets were supported by refuelling tankers for the crossing.
They will be displayed at the Royal International Air Tattoo and the Farnborough Air Show over the next few weeks.
It is the first time an RAF F-35 has made the transatlantic crossing to the UK from the US.
The jet was flown by RAF pilot Squadron Leader Hugh Nichols on its first transatlantic crossing
Plans for the F-35 to display in Europe last summer were scrapped due to a technical problem.
The Lightning II, which is capable of short take off and vertical landing, will enter service with the RAF and the Royal Navy in 2018.
The UK will have 24 of the aircraft available on its two new aircraft carriers by 2023.
Its design uses stealth technology techniques to minimise its presence on radar, giving it "very low observable characteristics", according to the RAF.
Defence Secretary Michael Fallon said: "The F-35Bs are the most advanced fast jets in the world.