Kevin Spacey 's setting the record straight ... telling fans he isn't homeless ... and blaming a misleading headline for all the confusion.

The actor took to social media to clear up the issue ... telling fans he doesn't like to spend his time correcting the media, but he couldn't let this rumor keep going because so many of his loyal followers have reached out to him offering assistance. Getty

Spacey thanks everyone who reached out offering him a couch to crash on or just to see if he's doing alright these days ... but, he says he's not actually homeless.

Kevin says he had a wonderful conversation with a journalist from The Telegraph ... but, he feels the outlet -- in an effort to garner attention -- took his comments completely out of context.

Spacey's going where the work is, h

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