"It is with great sadness that Ned & Morgan inform friends and fans that their two-year-old daughter Haven passed away on October 20th due to a tragic choking accident in the home," the statement read on Facebook.
"The LeDoux family appreciates your love and support and is requesting privacy at this time."
According to Taste of Country, the statement had originally included further details.
The statement originally read: “Paramedics were called to the family’s northeast Kansas home on October 20th and arrived quickly, but attempts to resuscitate her were unsuccessful.”
The family had recently celebrated Haven's birthday, as she turned two six weeks ago, on September 15.
“Turned the big #2 today! Happy to be home for this special day. What a character this one,” Ned, who is the son of late country singer-songwriter Chris LeDoux, wrote on Instagram, along with a photo of a smiling Haven.
Ned and Morgan also have a son, Branson.
The country singer was promoting his new album ahead of his daughter's death, and Next in Line is due to be released in November.