As the preliminary results show, the party has gained a large majority in the assembly.
Macron's party "vampirized" the left and right after his huge win in the presidential balloting, Dabi said on CNews TV.
An alliance led by the conservative Les Républicains party emerged as the biggest opposition group, with 125 seats. The ministry said the far-right National Front was in third place with almost 10 percent followed by the Socialists with 6.2 percent.
The party, which was in power for five years under former president Francois Hollande, has been associated with years of high unemployment, low national confidence and social unrest.
The scale of Macron's absolute majority shows the extent to which the new president, a newcomer to party politics, has managed to transform the French political landscape in record time. Altmaier added: "Good for Europe and for Germany!"
French President Emmanuel Macron's.
Socialist party leader Jean-Christophe Cambadelis says that President "Emmanuel Macron's triumph is uncontestable, the defeat of the left is unavoidable, and the defeat of the Socialist party is irrevocable".
The turnout rate in Sunday's final round of voting to fill 577 seats in France's powerful lower house, the National Assembly, is crucial to boost opposition parties.
The French right, which only a year ago had believed the presidential and parliamentary elections impossible to lose, was on track for its worst parliamentary score in France's postwar Fifth Republic.
It could be marred, however, by record low turnout that was registered in the first round and feared in the run-off - putting into question the government's legitimacy.
French President Emmanuel Macron has voted in parliamentary elections expected to hand his 14-month-old party a big majority.
Mr Macron was seen smiling, waving and taking photos with supporters who gathered outside his house in Le Touquet, northern France, as he left to vote.
The party is expected to win only a handful of seats despite its third-place showing in the first round.
The far-right Front National, which now has two seats in parliament, was predicted to win up to eight seats, better than its first-round showing had indicated.
Prime Minister Edouard Philippe, a center-right politician who joined Macron's movement, cast his ballot in the port of Le Havre.
Experts partly blamed voter fatigue following the May 7 election of Macron, plus voter disappointment with politics.
"This is France, not Russian Federation", far-left candidate Jean-Luc Melenchon said Friday on Europe 1 radio.
That would allow him to move ahead quickly with promised legislation, including over changing labour laws to make hiring and firing easier.