Cartagena, 42, pleaded guilty last December to failing to pay taxes on more than $1 million of income he earned from 2007 to 2010, the New York Times said.
Federal prosecutors said he neglected to pay about $700,000 in taxes on earnings of $3.3 million during the years in question. He was sentenced Monday, the newspaper said.
When he will begin serving his sentence was not reported.
The hip-hop artist's hits include "Flow Joe," "Lean Back" and "What's Luv."