The Bodyguard star yesterday (June 14) emerged successful in a federal lawsuit brought against him by Baldwin.
Baldwin had launched a claim for damages, alleging that he and business partner Spyridon Contogouris were scammed out of $18 million (£11 million) in a deal with BP for oil-separating centrifuges following the Gulf of Mexico oil spill in April 2010.
Costner's lawyers had argued that neither Baldwin nor Contogouris were entitled to any payment, as they sold their shares in the company before the BP deal was completed.
A jury of eight people decided to make no award of damages to Baldwin following two hours of deliberation.
The Usual Suspects actor has now spoken about the decision, telling E! Online: "Obviously I am disappointed with the jury's verdict."
However, he continued: "I am grateful and respect those men and women for their service.
"The facts in the case remain true and the opportunity to rectify the unjust activities of those involved is a right and freedom that we should all be proud of and grateful for."