The Swedish company, co-founded by ABBA's Björn Ulvaeus, is known for their digital avatars and immersive experiences.
Pophouse CEO Jessica Koravos would not disclose the deal's financial details or describe the company's plans for the Turner acquisition.
She told The Associated Press "one of the reasons that we were so interested in Tina is because she has such an incredible visual presence and such an incredible stage energy. And so, we're very much looking at projects that can portray that and try to recreate that to some degree.
"What we want to do is really help to consolidate her legacy," she added. "I think that Tina Turner is up there, or is going to be up there, with the Elvises and the Marilyn Monroes of the world."
Koravos would not confirm if a digital avatar is on the way. She did say Pophouse will announce plans in the next six months.
Turner, known as the Queen of Rock 'n' Roll for her chart-topping hits such as What's Love Got to Do With It, The Best and Proud Mary, died in 2023 at 83.
Across her multi decade career, Turner won 12 Grammy Awards - including a Lifetime Achievement Award - was inducted into the Rock & Roll Hall of Fame in 1991 and 2021, was honoured at the Kennedy Centre in 2005 and sold over 150 million records worldwide.
Conversations for the Pophouse deal began after her death.
Koravos told the AP that BMG still holds a percentage of her catalogue.
She said Turner's estate was not involved "as a counterparty but certainly involved and in the sense of informed and participating in the conversations."
"Tina Turner's voice and spirit shaped modern music and popular culture," Alistair Norbury, president of BMG UK, Continental Europe and APAC, wrote in a statement.
"Our responsibility, alongside Pophouse and the Estate, is to ensure her work continues to resonate with audiences around the world, while remaining true to the strength, independence and originality that defined her career."