Just to confirm what #1-3 said: by far the more usual word in BE is draw, but everyone understands (and even uses, on occasion) tie.
In the dictionaries -- Macmillan, Cambridge, Oxford Learners, Collins -- draw is marked BE, while tie DOESN'T have an AE tag in return.
Compare the Macmillan entries for draw and tie (verbs rather than nouns):
if two teams or opponents draw, they both have the same score so neither wins. The American word is tie
if two players or teams in a game tie, they both have the same number of points
And as Slartibladfarst also says, in BE a tie can also just mean a match ("we won the cup tie" / "we lost the cup tie" / "we drew the cup tie") - here's the dictionary entry from Macmillan:
2 BRITISH one game that is part of a competition
a second-round tie
The difference between these two types of ties -- a draw, or a match -- will be obvious to a BE speaker in context.