Kim Kardashian Stranger Danger at Home ... Cops Called

Kim Kardashian called police to her home in Beverly Hills when a stranger showed up at her gate with luggage ... saying he intended to stay at Kim's home -- TMZ has learned.

According to sources close to Kim ... the man showed up late last night. We're told he buzzed the intercom at her security gate and claimed Kim had flown him into town to stay with her -- and that he was supposed to be working on her reality show.

We're told Kim got freaked out when the man refused to leave and a member of her security detail alerted police.

It's unclear at this point if the man was booked for a crime.