"We are overjoyed at the birth of Alena Rose Jonas," the couple told E! News after welcoming Alena on Sunday.
"She is precious! We could not be more excited to start building our family together. We want to thank our family and friends for their love and support, and our fans for all of their well wishes."
Kevin also took to Twitter to express his excitement over becoming a father.
"I'm so in love with her," the singer tweeted Sunday night after previously documenting Alena's arrival.
"It's showtime... I'm so excited #BabyJonasIsComing. Here we go we're pushing!!!! #babyjonas."
Kevin announced his wife was pregnant with their first child in July 2013.
The couple reportedly met in 2007 while on vacation in the Bahamas with their respective families. Kevin and Danielle wed in December 2009 in Long Island, New York and began starring in Married to Jonas in 2012 on E!.