The former IPL chairman, who made his claims on the social website Twitter early Monday morning New Zealand time, criticised the ICC and BCCI for not taking action.
''I've evidence to suggest there was fixing in the Champions League T20 and if the ICC don't bring it out in the public within a week, I will,'' he tweeted.
''The BCCI and the ICC are not interested in solving the problem of fixing in the sport.
''The ICC's been sitting on evidence for long time due to certain vested interests in world cricket.
''The evidence contains players' statements. My question is why hasn't the ICC made the evidence public yet? What are they waiting for?
''We should have a zero tolerance towards fixing of any kind in cricket. Stern action needs to be taken against everyone involved.''
It was not clear from Modi's series of tweets whether he was referring to last season's tournament, in which the Otago Volts competed.
However, Otago Cricket Association chief executive Ross Dykes said he was not aware of any claims Otago had been involved in match fixing at the tournament.
''My immediate response is to take it with a grain of salt,'' he said.
New Zealand Cricket declined to comment.
Otago won five consecutive games at the lucrative tournament before coming unstuck against the Rajasthan Royals and narrowly missing a place in the semifinals.