Only days after teaming up with the Coalition on Senate voting reforms that have increased speculation of an early federal election, Greens leader Richard Di Natale has accused the government of being "shambolic" and divided in its handling of key policy issues.

Senator Di Natale said the Turnbull government would look like it was panicking if it called a double dissolution poll.

Pointing the finger: Greens leader Richard Di Natale. Credit:Jay Cronan

It had mishandled the debate on taxation reform, and the Prime Minister Malcolm Turnbull had also failed a key test of leadership by watering down aspects of the controversial Safe Schools policy, Senator Di Natale said.

"The government does look very divided, it looks shambolic at the moment, and to sort of be panicking and running to an early election ... I don't think it would be a good look for them," he told Sky News on Sunday.