The UKIP leader Nigel Farage has said:
Since I first met Sir Patrick when he dominated a UKIP stage in 1999, he has been a friend and an inspiration. Not only to us in UKIP, but across the country and around the world.
Today we have seen the passing of a true great, and a true Englishman.
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The chancellor now faces the prospect of forming a minority government or calling for a snap election.
The 73-year-old said a return is unlikely "given the politicised atmosphere that seems to have afflicted our set."
Chancellor Philip Hammond said the UK will make a financial proposal to the EU in the next three-and-a-half weeks.