The price rises come despite good monsoon rains this year, which are crucial for irrigation, as well as government predictions price rises would ease.
Higher prices of fruits and vegetables led to food inflation accelerating in the latest data.
"Food inflation is up mainly due to seasonal movement and disruption in the movement of farm goods during monsoon season," said Rajeev Kumar, an economist and former director of ICRIER, a Delhi-based think tank.
Where as the fuel price index rose an annual 12.71 percent in the period, as against an annual 12.57 percent in the previous week. The government raised prices of fuels in late Jun.
The primary articles index rose an annual 15.19 percent compared with the previous week of an annual 14.75 percent.