'We are disappointed Cass would claim such inflammatory suggestions that we have alienated Karl’s children from our family,' they told Nine.
'Nothing could be further from the truth. Karl regularly co-parents his children and has his loving family around them.
'We refuse to keep a running dialogue of the children. There are custody and financial matters before the Family Court and Karl has abided by every single one of them and we will not jeopardise it. Family is often compromised when parents go through a painful divorce and we do our best to continue our love and support for the children.'
Karl and Cassandra share three children - Jackson, 18, Ava, 13, and River, 11.
The 47-year-old journalist also revealed that she has written her first children's book.
'Thankfully I’ve been gifted with enough resilience and strength to have got us all through these past two years,' she said.
Since their divorce, Karl has been dating model and shoe designer Jasmine Yarbrough. The two announced their engagement in February this year.
Related: Karl Stefanovic's ex-wife breaks her silence: 'We've been discarded'