According to Nielsen SoundScan, it came second only to Madonna's MDNA earlier this year, which sold 358,000 copies in its initial week of release.
This is Underwood's third album to debut at No. 1 on the chart.
Grammy-winning blues singer Norah Jones' fifth studio album entered the Billboard 200 at No. 2 after selling 110,000 copies, while the new Now 42 music compilation of current hits including those by Kelly Clarkson, Chris Brown and Gotye, entered the chart at No. 3 with sales of 95,000.
Rapper B.o.B.'s second album, Strange Clouds, debuted at No. 5 with sales of 76,000, leaving Adele's Grammy-winning 21 at No. 4, the only non-new entry in the top five this week.
Two more new albums entered the top 10, with the soundtrack from hit TV musical "Smash" at No. 9 and gothic rocker Marilyn Manson's tenth studio album Born Villain debuted at No. 10.
Last week's chart-topper Jack White's Blunderbuss fell to No. 7 this week.
Gotye continues to lead an unchanged top five on Billboard's Digital Songs chart with Somebody That I Used To Know featuring Kimbra.
Maroon 5's Payphone featuring Wiz Khalifa, Carly Rae Jepsen's Call Me Maybe, Fun.'s We Are Young featuring Janelle Monae, and Justin Bieber's Boyfriend fill the No. 2 to No. 5 positions respectively.
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cant forget the day she became 'American Idol'