After finishing seventh in Race 1 for Jenzer Motorsport, Maini started Race 2 second on the reverse grid.
The 19-year-old from Bengaluru grabbed the lead from polesitter Raoul Hyman at the start before overcoming Dorian Boccolacci's charge at turn one to break away from the field.
From there on, Maini was able to extend his lead before storming to his maiden victory six seconds ahead of Boccolacci and third placed Alessio Lorandi.
Maini had tears in his eyes hearing the Indian national anthem on the podium.
"I started under pressure as it was essential for me to get to the front from the beginning," said Maini.
"My desired lead came from the first corner, followed by a nerve-racking first five laps with Boccolacci on my tail and his attempts to overtake me multiple times while we were in the DRS Zone.
"As I stood on the podium and heard the national anthem, it got pretty emotional," said Maini, who has been supported by JK Tyre over the years.
The GP3 series will resume in July at the Red Bull Ring in Austria.
Asked on the areas of improvement for the next race, Maini added: "I think that we need to improve on qualifying. I need to get myself together a bit because I am not putting the lap together.
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