On Friday, China had reported much stronger than expected export growth in November, adding to inflation fears.
Inflation has in the past caused unrest in China, where poor families spend up to half their incomes on food.
The government has said it will take strong action against anyone found to be manipulating food prices.
It has taken a number of measures to try to tighten its monetary policy and boost the supply of key goods.
Beyond expectations
China Inflation Sky Rockets
In October, the central bank announced the first interest rate rise in nearly three years and analysts say another may be needed.
Shen Jianguang, an economist with Mizuho Securities, told Reuters news agency: "At least one interest rate rise is needed for this year... if you see inflation but no rate hike, people will doubt the determination to fight inflation".
The 5.1% November rise was the biggest since June 2008, and follows a sharp hike on the October rate of 4.4%.
The government's full-year target is 3%.
NBS spokesman Sheng Laiyun told the AFP agency: "Price rises in November are beyond many people's expectations. It will take some time for the [anti-inflationary] policies to be implemented and show clear effects."
China Inflation Sky Rockets
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