Amid political upheaval, South Korea Heads to Snap Presidential Election After Martial Law Turmoil. South Korea is voting in a pivotal snap presidential election on Tuesday, June 3, after a historic political crisis triggered by former President Yoon Suk-Yeol’s shock declaration of martial law last December. With 44.3 million eligible voters, the nation is at a crossroads seeking to restore stability, defend democratic values, and redefine its global alliances after six months of unprecedented unrest.