Hwang addressed the nation in a nationally televised speech, after the court’s unanimous decision to oust Park.
Park became the first South Korean leader to be permanently removed from office through impeachment.
The acting president said he felt a grave responsibility for the first impeachment of president in the constitutional history, vowing to mange state affairs with an unusually strong determination.
Touching on the rival rallies among pro- and anti-Park protesters, Hwang said now is the time to end conflict and confrontation, asking all of people to respect the court’s decision.
The rival demonstrations were held outside the court, with two of Park royalists passing away after being taken to a nearby hospital.
Candlelight vigils had lasted among anti-Park protesters since the corruption scandal embroiling Park emerged in late October. Conservative voters also continued pro-Park rallies to oppose the impeachment.
Hwang said both participants in the rival rallies took to the streets on patriotic concerns about the country, saying it would not be desirable anymore for people to go outside for rally.
He said a new president should be elected within 60 days, noting that if reconciliation is not based, the stable management of the presidential election may not be made possible.
The presidential election is forecast to be held on May 9. Hwang emerged as the best hope among conservative voters as there is no outstanding rival in the conservative camp.