"Don't be cynical when we make ambitious targets," Jayasundera told reporters in Colombo.
"It is the dream of Sri Lanka customs and the finance ministry to the best Customs in the region."
By March 'free port' arrangement will be in three ports, he said.
Jayasundera said Sri Lanka Customs will be handling about 30 billion US dollars of import and exports a year.
Customs will also facilitate the about a million tourists are year, he said.