Controversial cartoonist Al Nisbet has once again come under fire for an offensive cartoon.

Published in Fairfax newspapers on Monday, Mr Nisbet's cartoon responds to the government's family package, which came into effect yesterday.

The multibillion-dollar scheme will give 384,000 families extra money in the back pocket through changes to Working for Families, the Best Start payment to families of newborn babies, winter energy payments for beneficiaries, and extended paid parental leave at a higher pay rate.

Mr Nisbet's cartoon portrays a poor family neglecting their three children to "try for triplets" in order to receive more money from the government. It also claims the tattooed parents spend their money on alcohol and cigarettes.

Some Twitter users expressed their disdain at Mr Nisbet's cartoon.

"This is vile," one user said.