"Relationships ending are painful, and you can choose to carry that or you can choose to reframe it," Hudson said in an interview with Allure for the November issue. "If Matt and I had a great relationship, we would still be together, but we chose to move on because we had different visions of how we wanted to live our lives."
Hudson and Bellamy began dating in 2010, and in April 2011 the couple got engaged. Three months later, Hudson gave birth to the couple's first child together, Bingham Hawn Bellamy, now 4 years old. Hudson has another son, 10-year-old Ryder, from her previous marriage to musician Chris Robinson, singer for The Black Crowes.
Despite going their separate ways, Hudson revealed that she hasn't closed the door on sustaining an amicable relationship with her ex.
"[It] doesn't mean, though, that we can't rebuild something that would be the best thing for the kids," Hudson shared.
Photos of Kate Hudson from over the years:
Kate Hudson gets candid about why she called off wedding with Matt Bellamy
LONDON, ENGLAND - JULY 02: Kate Hudson attends the Serpentine Gallery Summer Party at The Serpentine Gallery on July 2, 2015 in London, England. (Photo by Ian Gavan/Getty Images)
NEW YORK, NY - OCTOBER 15: Actress Kate Hudson attends God's Love We Deliver, Golden Heart Awards at Spring Studio on October 15, 2015 in New York City. (Photo by Dimitrios Kambouris/Getty Images for Michael Kors)
LONDON, ENGLAND - JUNE 02: Kate Hudson attends the Glamour Women Of The Year Awards at Berkeley Square Gardens on June 2, 2015 in London, England. (Photo by Anthony Harvey/Getty Images)
NEW YORK, NY - MAY 11: Actress Kate Hudson and fashion designer Michael Kors attend the 'China: Through The Looking Glass' Costume Institute Benefit Gala at the Metropolitan Museum of Art on May 4, 2015 in New York City. (Photo by Andrew H. Walker/Getty Images for Variety)
NEW YORK, NY - FEBRUARY 18: Actress Kate Hudson poses backstage at the Michael Kors fashion show during Mercedes-Benz Fashion Week Fall 2015 at Spring Studios on February 18, 2015 in New York City. (Photo by Dimitrios Kambouris/Getty Images for Michael Kors)
PARIS, FRANCE - JANUARY 25: (L-R) Kate Hudson and Goldie Hawn attend the Versace show as part of Paris Fashion Week Haute Couture Spring/Summer 2015 on January 25, 2015 in Paris, France. (Photo by Pascal Le Segretain/Getty Images)
BEVERLY HILLS, CA - JANUARY 11: Actress Kate Hudson attends the 72nd Annual Golden Globe Awards at The Beverly Hilton Hotel on January 11, 2015 in Beverly Hills, California. (Photo by Jason Merritt/Getty Images)
NEW YORK, NY - FEBRUARY 18: Actress Kate Hudson arrives at the Michael Kors Miranda Eyewear Collection launch party at Michael Kors on February 18, 2015 in New York City. (Photo by Brent N. Clarke/Getty Images)
NEW YORK, NY - FEBRUARY 18: Actress Kate Hudson and designer Michael Kors pose backstage at the Michael Kors fashion show during Mercedes-Benz Fashion Week Fall 2015 at Spring Studios on February 18, 2015 in New York City. (Photo by Dimitrios Kambouris/Getty Images for Michael Kors)
BEVERLY HILLS, CA - DECEMBER 18: Kate Hudson arrives at the The PEOPLE Magazine Awards at The Beverly Hilton Hotel on December 18, 2014 in Beverly Hills, California. (Photo by Steve Granitz/WireImage)
BEVERLY HILLS, CA - NOVEMBER 21: Host committee member Kate Hudson attends Goldie Hawn's inaugural 'Love In For Kids' benefiting the Hawn Foundation's MindUp program transforming children's lives for greater success at Ron Burkles Green Acres Estate on November 21, 2014 in Beverly Hills, California. (Photo by Jason Merritt/Getty Images for The Hawn Foundation)
LOS ANGELES, CA - FEBRUARY 19: Kate Hudson seen at LAX on February 19, 2015 in Los Angeles, California. (Photo by GVK/Bauer-Griffin/GC Images)
NEW YORK - FEBRUARY 18: Kate Hudson out in Manhattan on February 18, 2015 in New York, New York. (Photo by Josiah Kamau/BuzzFoto via Getty Images)
NEW YORK, NY - DECEMBER 14: Actress Kate Hudson attends the New York premiere of 'The Hateful Eight' on December 14, 2015 in New York City. (Photo by Nicholas Hunt/Getty Images)
According to the actress, the couple have put the emotional well-being of their children before anything else.
"We said, 'We need to try to create something for the kids where they feel like they're gaining something rather than losing something,'" Hudson shared, adding that it was a "seamless transition" for their family.
"Kids just want to see their parents be cool. Everybody's cool; everybody's good," Hudson said.
Hudson added that the motivation to keep up a united front for their kids came from her own childhood experiences and upbringing.
"Being someone who has come from a broken family and has a stepfather, I really benefited from having that very consistent [presence] in my life," Hudson recounted. "And it's something I am mindful of and want in my life."