It is understood George FM presenter Kirby flew to Australia last week to bring his daughters home to Auckland.
He posted on his Facebook page today he was grateful to his supporters for their help during a difficult time. On his Snapchat account he also posted a short video of himself and his daughters visiting an Auckland shopping mall.
"I just want to say thank you for all your support over the last month," Kirby wrote. " It's been a really tough time on our family.
"I'm happy to report the girls are back and are happy to be home. Their first week of school went really well.
" Again a big thanks for your positive comments and thoughts and to everyone who helped along the way."
Last month Kirby posted he was devastated when Nash left New Zealand with the girls.
He added he was "kinda powerless to do anything other than put this matter in the hands of my lawyer, police and cyfs. ...I am just wishing for my girls to come home as quickly as possible so we can put this terrible period behind us once and for all."
It is alleged that on February 24, Nash, 27, stole a pink and yellow Christian Dior handbag from the Salvation Army store in Mt Eden. Police said the defendant was then caught driving on Dominion Rd while disqualified; a charge she has faced at least twice before.