CORD has called off a rally that had been scheduled for Nakuru on Sunday, June 22, 2014 and instead asked Kenyans to dedicate the day for prayers.
CORD leaders have asked residents of Kenya and all Kenyans to pray for peace, security and unity in the country.
The coalition also said it had suspended the Kisii rally scheduled for Friday, following requests by local leaders to be allowed to concentrate on the upcoming Bonchari constituency by-elections on Monday.
The Friday rally, which was to be held at the Gusii Stadium, would now be held on July 4 at the same venue, the coalition said in a statement sent to newsrooms.
The Coalition for Reforms and Democracy said it acceded to the request to allow the leaders to devote time in the campaigns for the ODM parliamentary candidate Oroo Oyioka.
The Bonchari by-election is set for June 23 after the parliamentary seat was declared vacant by the Court of Appeal sitting in Kisumu which revoked Mr Oyioka's election.
CORD has however said that all other rallies would be held at the planned times and would not be affected by the postponement and cancellation of the Kisii and Nakuru events.
A planned rally at Muliro Gardens in Kakamega on June 21 will go on as scheduled and CORD said that the preparations for it had been completed.
The coalition's series of rallies started at Tononoka in Mombasa last Sunday where calls for a national dialogue dominated the agenda.