Some candidates have allegedly been barred from submitting nomination papers on the last day but an election commissioner has claimed the allegations are not 'totally true'.
Asked by the media to comment, Md Shah Nawaz told reporters on Thursday there had not been 'such disturbance'.
At least 22 parties, including the BNP, are taking part in the first-ever municipal polls on party lines on Dec 30.
Independent candidates are also in the fray.
The time for the submission of the nomination papers ended at 5pm. The nominations will be screened on Dec 5 and 6. The last day to withdraw nomination is Dec 13.
The BNP candidates reportedly faced bars in submitting nomination papers in some municipalities.
Commissioner Nawaz said the EC was doing "everything needed for a free and fair election".
"We heard that the rivals are barring candidates from submitting nominations in one or two places. We have checked on the matter. They are not totally true," he said.
He said he himself had spoken to the local administration about the allegations that came from Matlab North municipality in Chandpur and Chittagong's Raujan.
"The disturbances were not actually like that. There might have been some trivial accidents," he said.
The local administration and law-enforcing agencies had been ordered to take steps so that no candidate faced bar to submit nomination, Nawaz said.
"We hope such hindrances will not be created and everyone will be able to file nomination," he added.
The election commissioner also said some had been making allegations 'for nothing'.
"There are some truths about these (allegations),” he said.
"The candidates have the scope to file an appeal if they fail to submit nominations," he added.
The BNP, which had boycotted the last general election, has criticised the EC and doubts its ability to organise a fair vote.
"We don't have anything to do if any party gets dissatisfied before the election," Nawaz said.
He said the EC will ensure 'equal justice’ for all the parties if they inform the commission about any issues.
The candidates will be able to start door-to-door campaign on Dec 9. They will be allocated symbols on Dec 14, clearing the path for campaign in other ways.
"No campaign before 21 days of the voting will be allowed. Steps will be taken if someone violates the code," Nawaz said.
"We'll not spare anyone," he said.