Fifa has provisionally suspended executive committee members Mohamed Bin Hammam and Jack Warner after a meeting of its ethics committee. However, no action will be taken against Fifa president Sepp Blatter.
Fifa also confirmed at Sunday’s news conference that the presidential election will go ahead as planned on Wednesday.
CFU officials Debbie Minguell and Jason Sylvester have also been suspended.
Fifa will now open a full investigation into allegations that financial incentives were offered to members of the Caribbean Football Union.
“We are satisfied that there is a case to be answered,” said Petrus Damaseb, deputy chairman of the ethics committee.
However, Fifa insists that they are innocent until proven guilty.
If found guilty, they could be expelled from the organisation and banned from all football activity.
Bin Hammam was the only candidate due to oppose Blatter in the forthcoming election for the Fifa presidency but he withdrew on Sunday.
It was alleged that he and Jack Warner were offered bribes at a meeting of the CFU on 10 and 11 May.
A file of evidence claimed bundles of cash of up to $40,000 (£24,200) were handed over to members of the CFU at the meeting in Trinidad.