Lutz commented that female fans frequently question his sexuality when he turns down their romantic advances.
"I don't Google myself, but I've heard that people think I'm gay. I've heard it all. See, I don't really go after girls. Most of the girlfriends I've had have come after me," he told The Advocate.
He added: "It's really funny when girls get offended because I don't hit on them. They'll transform their insecurity into, 'Oh, that makes sense, because I heard you're into guys and have a boyfriend'. I'm like, 'Seriously? That's your tactic to get me to like you?' There will always be rumours, but I know who I am."
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Lutz also teased that he would love to live with gay roommates because they would be more likely to keep the home clean.
"They're the cleanest, and they just take care of stuff," the actor said. "Because I'm always away, coming home to a clean house means a lot to me. Trust me, I've lived with a lot of roommates, and straight guys are just kids who don't pick up after themselves."
Lutz was recently linked to former Home and Away actress Sharni Vinson after they were snapped on a stroll at Venice Beach.
The Twilight Saga: Breaking Dawn - Part 1 opens in cinemas worldwide on November 18.
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Watch the teaser trailer for Twilight: Breaking Dawn - Part 1 below: