Sangakkara is just ahead of South Africa’s Jacques Kallis and Australian captain Michael Clarke.
The Sri Lankan has 850 points while Kallis is at number 2 with 846 points and Clarke at 3 with 821 points, the ICC said.
Meanwhile in the One Day batsmen’s ratings Sangakkara is at number four below Hashim Amla, A.B. de Villiers and Virat Kohli.
There are no Sri Lankans in the top 10 bowlers rankings in both Tests and One Day Internationals.