The bill would make the slaughtering, breeding, trade and sales of dog meat for human consumption illegal from 2027 and punish such acts with 2-3 years in prison.
The new round of artillery drills near the two countries' disputed sea boundary came a day after the North's similar exercises prompted South Korea to respond with its own firing drills.
The rival Koreas fired artillery rounds into the sea as part of provocative drills along their disputed sea boundary Friday, in violation of the fragile 2018 inter-Korean agreement.
Democratic Party leader Lee Jae-myung was stabbed in the neck, authorities said, during a visit to the city of Busan. No motive for the attack was immediately available.
South Korean actor Lee Sun-kyun, who played a rich entrepreneur in the Oscar-winning film Parasite, was found dead on Wednesday. Police suspect he died by suicide.
Since the collapse of nuclear talks between Pyongyang and Washington in 2019, analysts see a major shift in North Korea's foreign relations. It has turned increasingly to Moscow.
South Korea had no military reconnaissance satellites of its own in space and has partially resorted to the United States' spy satellites to monitor moves by North Korea.
The South Korean announcement — which will likely infuriate North Korea — came hours after the North claimed to have placed a military reconnaissance satellite into orbit.
Experts point to economic difficulties from prolonged international sanctions, but the closures may signal a possible change in North Korea's foreign policy that is more focused on Moscow and Beijing.