SA premier to work with PM, despite fight

South Australian Premier Jay Weatherill has promised a "mature" working relationship with Canberra, saying his election stoush with Tony Abbott was part of the usual campaign nonsense.

Mr Weatherill on Sunday secured the support of independent MP Geoff Brock to form a minority government, giving Labor a fourth term in power.

The prime minister visited South Australia a number of times during the election to support Liberal leader Steven Marshall and became involved in a war of words with the premier.

Mr Abbott faced particular criticism for not inviting the Labor leader to one campaign announcement, that the state would be the base for a squadron of high-tech surveillance aircraft.

But Mr Weatherill on Monday downplayed the stand-off.

"There's always some nonsense before elections as parties line up with their fraternal parties," he told ABC radio.

"Now, we're over all that, we can get back to some serious discussions."