The tourists will arrive on the island on August 25 and start a three-match one-day series on August 31 to be followed by a two-match Test series beginning on September 12.
R. Premadasa International Stadium, the island's largest cricket stadium, has also been given a Test match for the first time since New Zealand beat Sri Lanka in June 1998.
The venue has a reputation for high-scoring after Sri Lanka piled up 952-6 against India in 1997 with Sanath Jayasuriya blasting 340.
Schedule:
Aug 31 - First ODI, Sinhalese Sports Club
Sept 2 - Second ODI, R. Premadasa Stadium (day-night)
Sept 4 - Third ODI, R. Premadasa Stadium (day-night)
Sept 7 - Three-day practice game, Colombo
Sept 12 - First Test, P. Saravanamuttu Stadium
Sept 20 - Second Test, R. Premadasa Stadium