The organisation said the food index, which measures the wholesale price of basic foods within a basket, averaged 231 points, its highest level since records began in 1990.
FAO said rice prices fell slightly as the date coincided with harvests in many countries.
It is said that the rises were particularly high for dairy products, up 6,2% from December, adding that the prices were driven higher by a combination of lower supply and increasing demand in emerging economies such as China and India.
The world food agency said sugar prices also remained high due to tight supplies.
Commodity prices have been on the rise generally, with copper hitting a record high of 10 thousand dollars per tonne.
Oil is also said to have rose up with crude oil rising to 103 dollars 37 cents by Thursday.