The two men have exchanged 11 letters on the subject over the past two years.
The letters were released to RTE News under the EU's Access to Information on the Environment.
In his first letter, Minister Gormley raised concerns over negative financial implications arising from a clause in the incinerator's contract that guaranteed the operators would get paid if the Council failed to deliver a specified amount of waste.
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Mr Tierney responded by warning that interference in the incinerator contract would have potentially devastating consequences on the capital's four local authorities.
The Minister then claims the Council might not secure enough waste and the contract could allow price fixing - something now being investigated by the Competition Authority.
Responding, Mr Tierney claimed the Minister's waste review had fundamental flaws and he denied the Council had been blasé, foolhardy or unwise.
(NS/GK)
