Residents were able to connect with the digital world on the main island of Tongatapu and the island of Eua.
"People on the main island will have access almost immediately," Tonga Cable chief executive James Panuve told Reuters.
The tiny South Pacific kingdom's undersea fiber-optic cable, which is used to transmit almost all digital information and was damaged in the seaquake, has been repaired.
Tongans had to use makeshift satellite services as the repairs to the cable were made.
Repair ship Reliance took 20 days to replace the 92-kilometer (57-mile) section of the 827 km cable that connects the island nation to Fiji and other international networks.
"Thanks, optic fiber internet. We can now see the world,” news portal Kaniva Tonga quoted resident Paulo Lātu’s post on Facebook.
The eruption that took place late in January, triggered a tsunami that reached as far as Alaska, Japan and South America.
The Tongan government had said that 84% of its population of nearly 105,000 people was affected by what experts have deemed one of the world's worst volcanic eruptions in decades.
Tonga devastated by volcanic eruption, tsunami — in pictures
The catastrophe wreaked havoc in Tonga and sent tsunami waves that hit coastlines as far as Japan and New Zealand.
Image: New Zealand High Commission/ZUMA Wire/imago images
'Unprecedented disaster'
Tonga officials confirmed that at least three people died after a massive undersea volcanic eruption and tsunami hit the Pacific nation — what the government called an "unprecedented disaster." With the country's only internet cable cut, it remains difficult to understand the extent of the damage through patchy satellite phone connections, surveillance flights and satellite images.
Image: New Zealand Defense Force/Getty Images
Smothered in grey dust
Volcanic ash has blanketed Tonga, as seen in this before-and-after image. World Health Organization official Sean Casey said that "the whole country is covered in ash," adding that water contamination is currently the biggest threat to the population. The UN health agency said around 100 houses had been damaged, with 50 destroyed on Tonga's main island of Tongatapu.
The Hunga Tonga-Hunga Ha'apai underwater volcano had erupted on Saturday, sending ash some 30 kilometers (19 miles) into the air. It deposited ash, gas and acid rain across a large area of the Pacific. A tsunami followed the volcano, raising waves in Tonga up to 15 meters (50 feet), its government said.
Image: Tonga Geological Services/REUTERS
Sending help
As communication from Tonga remained severed, New Zealand sent surveillance flights to survey the damage. Several international organizations, including the UN and Red Cross, are trying to send aid, but Tonga's airport remains closed. Australia and New Zealand said they would send ships with aid — which could take days due to the massive distance.
Large waves from the volcanic eruption are believed to have caused an oil spill in an area rich in marine biodiversity in Peru. Peruvian authorities said that a ship was loading oil into a refinery on the Pacific coast on Sunday when strong waves moved the boat and caused the spill.
So far, it is the only known oil spill to have have occurred in the Pacific basin after Saturday's eruption.
Image: Martin Mejia/AP Photo/picture alliance
Impacts across Pacific: Tsunami waves reach Japan
Tsunami waves caused by the eruption spread across the Pacific Ocean and hit Japan's coastline. Rafts of farmed oysters in Japan's eastern Mie Prefecture were carried out to sea by the waves.
Image: The Yomiuri Shimbun via AP Images/picture alliance
Impacts across Pacific: Boats damaged in New Zealand
The impact was felt in New Zealand as well. Waves that swept into marinas severely damaged boats, while others in New Zealand said they could hear the eruption.
Image: Tanya White/Northern Advcate/NZME via AP/picture alliance
Previous eruption in 2015
An eruption in 2015, pictured above, caused the formation of a volcanic cone between the islands of Hunga Tonga and Hunga Ha'apai. The eruption released dense, particle-rich jets.
Image: New Zealand High Commission/ZUMA Wire/imago images
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The next task is to repair the domestic cable connecting Tongatapu with the outer islands
that bore the brunt of the tsunami, Panuve said, adding that it could take six to nine
months.