Sable Mining, a company co-founded by Edmonds and his business parter Andrew Groves, said a report the company had bribed African officials was based on "unreliable" testimony.
Anti-corruption campaign group Global Witness had accused Edmonds and Groves of a "multi-million dollar heist" in an investigation it said was based on leaked emails and company files.
Released on the eve of an international summit on corruption in London, the report accused the two of "fleecing millions from investors as they carved out an African business empire with bribery and dirty tricks".
Among the documents leaked was a spreadsheet of bribes to Liberian politicians that had been emailed to Sable Mining's chief executive Groves, the campaign group said.
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In a statement to AFP, Sable Mining defended Groves, Edmonds and a non-executive director of the company, Aboubacar Sampil, who was also named in the report.
"Mr Groves, Mr Edmonds and Mr Sampil strenuously deny any wrongdoing," the statement said.
It added that the company would undertake a review of the issues raised by the report.
"We have found no evidence to support or justify this attack on the Company or its directors, past and present."
Edmonds was chairman of Sable Mining until 2014.