The Rockland County father whose year-old twins died after he forgot them in his sweltering car has no interest in cutting a plea deal because it would be a concession of guilt, his lawyer said Tuesday.

“I do not view this as a criminal case,” attorney Joey Jackson said outside Bronx ­Criminal Court, where he appeared alongside client Juan ­Rodriguez.

“A plea deal would otherwise suggest that there was some culpability or guilt on Mr. Rodriguez’s part.

“It’s my view that . . . while this is a horrific tragedy that has affected my client, his wife, his children deeply, that it is not a crime.”

Rodriguez, a 39-year-old Iraq War veteran, is facing two counts each of manslaughter and criminally negligent homicide for leaving son Phoenix and daughter Luna inside his parked Honda Accord as it baked in the July sun for eight hours.

“I killed my babies!” Rodriguez shrieked to cops upon realizing he’d forgotten to drop his tots off at day care before working a shift at a Bronx Veterans Affairs hospital, police sources have said.

At a brief court hearing Tuesday, prosecutors said they still have not convened a grand jury to hear the case.

Afterwards, Jackson had a roughly hour-long meeting with the prosecutors — before telling reporters his client would not take a deal.

“The delay here is that prosecutors are taking their time to evaluate every piece of evidence,” Jackson said. “They want additional information to do their due diligence.”

Rodriguez was joined at his court date and the briefing by his wife, Marissa. Though neither spoke publicly Tuesday, Marissa has previously said she is standing by her husband and called the shared loss her “absolute worst nightmare.”

“I will never get over this loss, and I know he will never forgive himself for this mistake,” Marissa Rodriguez said in a statement days after the the deaths of the twins.

Jackson echoed the sentiment on Tuesday, saying each hearing of the protracted legal proceeding is a reminder to Rodriguez of his life-changing mistake, even as he acknowledged that the district attorney is simply being thorough.

“It’s horrible for him to be returning to court,” Jackson said. “I would like to have this case dismissed now. I would love if it was dismissed last week, but it’s not. We are living in the reality of the DA dotting i’s and crossing t’s, and anything we can do to facilitate this investigation, we will continue to do.”

Rodriguez, free on $100,000 bail, is due back in court on Oct. 24.