Viaplay bought the rights to show all Scotland men's national team matches from the year 2028.
The deal includes the World Cup, Euro and Nations League ties.
Viaplay will launch in the UK in the second half of this year, taking over from Sky Sports.
The Scottish FA says it has positive initial dialogue about some of the games being free to air.
Viaplay will allow fans to watch games through the website and app, as well as on connected TVs, games consoles, and devices such as Apple TV.
There are talks over the Nations League games from this June until 2024.
The Scottish FA is pleased that Viaplay recognizes the value of the Scotland men's national team and looks forward to them broadcasting what will hopefully be more successful qualification campaigns.
The guaranteed income that we receive through Uefa's centralised media rights sales allows us to continue to grow the national game.
The finances help us to invest in a number of areas, including the grassroots game, girls and women's football, coach education and para- football.
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