The International Cricket Council (ICC) charged Jayasuriya on Monday with two breaches of its anti-corruption code.
He is accused of failing to co-operate with an investigation and "concealing, tampering with or destroying evidence".
Jayasuriya says the charges "do not contain allegations pertaining to match fixing, pitch fixing or any other similar corrupt activity".
The 49-year-old has 14 days to respond to charges.
"The charges allege that I have not been cooperative and not assisted their investigations," Jayasuriya added in a statement.
"I have always conducted myself with integrity and transparency with matters concerning the sport and I will continue to do so."
According to the BBC Sinhala service, the charges by cricket's governing body against Jayasuriya pertained to him refusing to hand over his mobile phone to ICC authorities for "personal reasons".
Earlier this month, Alex Marshall, general manager of the ICC anti-corruption unit, announced an investigation into "serious allegations of corruption" in Sri Lanka.
BBC Sinhala understands Jayasuriya was chairman of selectors during the period under investigation.
Jayasuriya was player of the tournament as Sri Lanka won the World Cup in 1996 and he scored 21 centuries and took 323 wickets in 445 one-day internationals. He also averaged 40.07 runs in 110 Test matches.
The former government minister retired from international cricket in 2011, but continued playing Twenty20 matches until 2012.
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