The new state budget includes the rule change, which takes effect on June 3.

Taxes on cigarettes and little cigars will jump to $2.75 per pack on the same day, the New York Daily News reported.

Currently, the little cigars are currently taxed at a rate of 30 cents per pack. Cigarettes are now taxed at $1.50 per pack.

The state predicts the new tax will add $3.6 million to its annual budget, the report said.

"New York State is now the national public health leader in tobacco taxation," Michael Seilback, policy director for the American Lung Association in New York told the paper.