South Australian Greens Senators Sarah Hanson-Young and Penny Wright have slammed the Coalition's first budget, which slugs SA families while letting big business off the hook.

"This is a brutal budget by a cruel Coalition," Senator Wright said.

"Not only has Education Minister Christopher Pyne turned his back on SA school students by ripping the heart out of the Gonski reforms, he wants to make it harder and more expensive to go to university.

The Australian Greens say Tony Abbott's budget has been written for big business and will further divide Australia between the haves and have-nots, especially for sick, young and vulnerable people.

"This is a divisive and brutal budget written in the boardrooms of big business," Greens Leader Christine Milne said.

"Tony Abbott's rhetoric about sharing the burden is a lie. Big business has been quarantined. Young people, the sick and vulnerable take the biggest hit.

Australian Greens Leader Senator Christine Milne joined Greens health spokesperson Dr Richard Di Natale in Canberra today to launch the Greens' $9 billion national health package.

"In a caring society, every Australian should have the right to good quality healthcare," Senator Milne said.

"The Greens' national health policy is about making sure that your health doesn't depend on your bank balance or your postcode.

"The Greens stand up for what matters and that's why we've made investment in healthcare a priority for this election."