The roughly 1 mile high Wolf volcano is located on Isabela Island, home to a rich variety of flora and fauna typical of the archipelago that helped inspire Charles Darwin's theory of evolution following his 1835 visit.
Isbela Island is also home to the last pink iguana population in the world.
Although the island is not located near a populated area, Galapagos National Park Director, Danny Rueda announced in a news conference on Friday that the lava flow is heading south of the volcano's crater, meaning it would not affect wildlife populations.
The eruption in Ecuador happened before a 5.2 earthquake stroke in Peru early on Friday. Both South American countries are located in the so-called Pacific Rim of Fire.