Sri Lanka President Mahinda Rajapaksa and his brother Defence Secretary Gotabhaya Rajapaksa signed as the witnesses to the marriage, a report said.
Mathews is currently serving a two-match ban and will miss the opening ODI games against South Africa. He was suspended for a slow over-rate offence during the Celkon Mobile Cup tri-series against India in the Caribbean last week.
The 26-year-old righ-hander has played 33 Tests, 102 ODIs and 39 T20Is for Sri Lanka. He plays for Pune Warriors in the Indian Premier League.
Dinesh Chandimal has been named as stand-in skipper for two games.
The first ODI is on July 20 in Colombo.