The four-piece, from Whitburn in West Lothian, denied US pop star Demi Lovato the crown with their album W.L. after a closely-fought race this week.
This makes the band the first chart toppers to come from Scotland in 14 years.
Their debut album W.L was released on April 2.
Celebrating the news, The Snuts told OfficialCharts.com: "This one is for all the fans who have proved that it’s possible to get a band like us to Number 1. Every copy you bought of this record goes a long way. It’s old school and it’s beautiful. Thanks very much – we love you."
The Scottish Music Industry Association (SMIA) commented: "A huge congratulations to The Snuts for landing a UK Number 1 album with W.L. As the first Scottish group to do so with their debut record since The View's 'Hats Off to the Buskers' in 2007, this is an incredible achievement; not least at a time of significant challenges industry wide.
"Their success follows on from Mogwai claiming the Number 1 spot just a few weeks back with 'As The Love Continues', highlighting the strength, passion and determination from Scotland's artists and music industry, and signifying an exciting and impactful period of engagement and connection with Scottish music."
Demi settles for this week’s runner-up slot but still claims her highest-charting record in the UK to date- her seventh collection bests her previous peak at Number 5 with 2017’s Tell Me You Love Me.