The special Assembly session was convened to conduct the floor test following an order by the Supreme Court.
Parrikar, who resigned as Defence minister earlier this week, was sworn-in as the Chief Minister along with nine other MLAs by Governor Mridula Sinha on March 14.
The 61-year-old BJP leader proved his majority with 12 legislators from the BJP, three from the Goa Forward Party (GFP), three from the Maharashtrawadi Gomantak Party (MGP), three Independents and one from the NCP voting in favour of the trust motion.
The opposition benches included 16 MLAs from Congress, while its newly-elected member Vishwajit Rane remained absent during the voting.
The test was passed through a clear division which was ordered by Pro-tem Speaker Siddharth Kuncolienkar, a BJP member.
Senior Congress leader Pratapsinh Rane sought to raise a point of order when Parrikar moved a motion seeking vote of confidence.
The Speaker, however, did not allow Rane to raise the point of order and continued the voting process.
Riding on the charisma of Parrikar, the BJP managed to cobble up an alliance of GFP, MGP and Independents.
An aggrieved Congress moved the Supreme Court on March 13 to stall the swearing-in of Parrikar with the claim that it should have been invited to form the government since it was the single largest party.
But the apex court refused to stop the swearing-in and ordered to hold the floor test today.
Ahead of the trust vote, all the 40 legislators took oath.
Later, the session was adjourned till March 22 when it will meet again to elect the Speaker. This would be followed by the Governor's address on March 23 and presentation of the state budget on March 24.
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