The party received 38.95% of the vote followed by ruling Labour Party with 26.9%, the commission said after counting 100% of the votes. The Green Party took the third place by getting 10.77% of the votes.
The members of the National Party are expected to receive a total of 50 seats in the parliament and lead the country's government.
Luxon is expected to replace Chris Hipkins as the New Zealand's prime minister. Hipkins conceded his Labour party could not form a government.
In January, Hipkins was unanimously endorsed by the ruling Labour party as its leader and later sworn in as the prime minister after Jacinda Ardern announced her resignation from the post.