Every day, Brent Peterkin still puts on a suit and tie and drives to his job in New Haven as statewide coordinator for Project Longevity, a program to thwart gun violence and redirect potential gang members in some of Connecticut’s most crime-ridden neighborhoods. It is also one of many social services nonprofit organizations that has lost its funding as the state approaches three months of operating without a budget.

Mr. Peterkin and Project Longevity’s five other workers have not been paid since June 30, when the state’s fiscal year ended, and it is unclear if they will get any back pay.

They have kept working anyway.

“We’ve all invested a great deal of time and energy in doing this work,” he said, before conceding the financial strain months without pay has had on his family. “You can only do it for so long before your household budget starts to resemble the state budget.”

Connecticut is the only state in the country that has not enacted a budget for this year. State lawmakers failed to reach an agreement after months of wrangling as they confronted a $3.5 billion deficit. Now, the state is barreling toward another key deadline on Oct. 1, when an executive order on state spending calls for more painful reductions. It is another deadline that some state officials, including Gov. Dannel P. Malloy, a Democrat, have expressed doubt that they will meet.