Ginsburg took note of "long-concealed prosecutorial transgressions" in Thompson's trial that were neither "isolated nor atypical."
She said at least five prosecutors in the office had concealed evidence vital to Thompson's defense.
"I would uphold the jury's verdict awarding damages to Thompson for the gross, deliberately indifferent and long-continuing violation of his fair trial right."
In court papers, lawyers representing Connick wrote that he had served as a powerful district attorney for Orleans Parish, the county that includes the city of New Orleans. "He vastly improved how the office processed its massive caseload, and how it mentored the more than 700 prosecutors who would work there over the years."
Connick "sought to create a culture that encouraged prosecutors to understand and obey their legal obligations," wrote his lawyers.
But Thompson said he feels otherwise: "I think very, very low of Mr. Connick, he was a politician, he wasn't worried about law."
Since his release Thompson has won private grants and become the founder and director of Resurrection after Exoneration, a group dedicated to helping those who have been exonerated after death sentences. The group runs a transition house to provide temporary housing for former inmates and to teach them potential job skills.
"I'm dedicating myself to accountability," Thompson said.