"I thank the National Party for their amendments and their support of our bill," Ardern said.
The bill, if law, would encourage a focus on child poverty reduction, facilitate political accountability against published targets, require transparent reporting on child poverty levels, and create a greater commitment by Government to address child wellbeing.
National were able to get some concessions to the bill, which was introduced by Ardern in January.
These include reporting annually on one or more child poverty related indicators, having regard to principles of early intervention and evidence-informed policy when developing the strategy, and setting out how the Government intends to evaluate the effectiveness of policies included in the strategy.
Ardern told media in Waikato that the Government could have passed the legislation without the help of National.
But she said if the Government wanted something that extends beyond three-year cycles, it was important to garner support from across the political aisle.
She said there were elements that were not agreed on, such as putting specific numbers in the bill around the targets, but was glad an agreement was reached.
Meanwhile, in Tauranga, Bridges said he was pleased the Government was willing to listen to National's thoughts on the bill.
He said if it was a National Party bill, "we would have gone further with some of our indicators in terms of the social investment approach".
But he said National is pleased to have been involved with the Government on this.
Bridges said the changes mean poverty will be measured not just in simple financial terms, but in areas such as income and employment, housing, education and development and health.
"[This will] give a broader picture to what poverty means for some children and to help form our response."
The changes also mean National's approach to solving social issues will be adopted, as the Government will have to take into account the principles of early intervention and "evidence-informed policy".
The bill has just come out of the select committee process, where people were able to have their say on the proposed legislation.
The committee received 632 submissions on the bill, with the bulk of the feedback overwhelmingly positive, Ardern said.
She said this helped strengthen the bill in a number of areas.
"I want to thank all the individuals and groups for their passionate and thoughtful contributions on the bill. They have been extremely valuable in helping to strengthen this legislation."
With the support of both major political parties, the bill is very likely to pass its second and third readings and become law.
