New York City funding for its five district attorneys and the special narcotics prosecutor is down by 6 percent in the budget for the fiscal year that started July 1.

The budget news for the 2011 fiscal year is not quite as gloomy as the prosecutors had anticipated because the mayor’s office and the City Council together added $6.5 million, or 2.5 percent, to the executive budget Mayor Michael R. Bloomberg submitted in May. Total city funding, which makes up more than 90 percent of the agencies’ budgets, is $258.7 million.