The NBA announced Wednesday evening it's hit Irving and his Brooklyn Nets team each with $35k fines for "violating league rules governing media interview access."

The NBA says Irving has repeatedly refused to show up for postgame media availability sessions -- a big no-no for players.

Of course, this ain't the first time the league has had to step in and slap Irving with a fine for this ... back in December, he was hit with a $25k fine for dodging media during training camp.

At the time, Kyrie famously appeared to react to the fine in a viral social media post in which he wrote, "I do not talk to Pawns. My attention is worth more."

Irving later explained his "pawns" comment was NOT a jab directed at reporters.

"Not even referring to you guys as pawns or media," Irving said. "It's just really how I felt about the mistreatment of certain artists when we get to a certain platform of when we make decisions within of lives to have full control and ownership."