The most common homograph of "tie" is tie, as in "to tie a knot". This is the same word, but with a different meaning.
Here's a breakdown:
* Tie (noun): A necktie or a piece of string used for fastening.
* Tie (verb): To fasten or bind something with string or rope.
There isn't a *separate* word that is a homograph of "tie" in the sense of a completely different word spelled the same.