Putin nominated Vyacheslav Volodin, the Kremlin's deputy chief of staff who oversaw the vote, as the State Duma's speaker.
Volodin replaces Sergei Naryshkin, whom Putin appointed the new chief of Russia's Foreign Intelligence Service a day earlier.
Volodin has been widely seen as the main architect of the Kremlin's domestic policies over the past five years, including a slew of laws that introduced tough punishment for taking part in unsanctioned protests and new restrictions on non-government organisations.
The September 18 vote gave United Russia, the main party supporting Putin, 343 seats in the 450-seat lower house, a gain of more than 100 seats that raises it far above the two-thirds majority required to amend the constitution on its own.
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Three other parties that had largely complied with the Kremlin's wishes saw their presence shrink: The Communists won 42 seats in the new Duma, a sharp drop from 92, the nationalist Liberal Democrats got 39 and the socialist Just Russia 23 seats.
While the three parties posture as the opposition, their fealty to the Kremlin was at full display today when Putin met with parliament leaders. They all enthusiastically hailed Volodin's candidacy and were openly pleading with the president to allow them to keep the committees they led in the old parliament despite their smaller presence.
While Volodin has largely stayed in the shadows, he is considered one of Russia's most influential officials, a puppet master who has directed the parliament's work.
Volodin got the Kremlin job after his predecessor, Vladislav Surkov, was held responsible for failing to prevent massive protests in Moscow against Putin's rule that were fueled by evidence of vote-rigging in Russia's 2011 parliamentary election.
This month's parliamentary election was generally seen as cleaner than the 2011 vote. Still, allegations of violations came from around the country on election day, including charges of ballot-box stuffing and "carousel voting," in which people are transported to several locations to cast multiple ballots.