The 26-year-old has penned terms which will keep him at Villa Park until 2025.
Hause told VillaTV: "I'm over the moon. It's a big club, a big part of my life, big part of my football career.
"Since the day I signed, I've felt a real love for the club in terms of showing how much they wanted to bring me to the club.
"So from the first day I signed, I've felt loved and wanted and to extend for another three and a half years, I'm very, very happy. I'm delighted."
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