The deployment to Tabqah near Raqqah on Monday restores the state's foothold in an area that is home to a major hydroelectric dam.
The state television, in broadcasts from Ain Issa, showed residents welcoming the entry of the army troops.
Tel Tamer is 35 km southeast of Ras al-Ain which is currently under the control of Turkish troops. It is on a strategically important highway, the M4, that runs east to west. Turkish forces said they had seized the highway on Sunday.
Syrian Kurds on Sunday struck a deal with the government in Damascus on the deployment of Syrian army forces near the northern border after US troops pulled out of the region ahead of a Turkish incursion.
The so-called Syrian Observatory for Human Rights said US warplanes had targeted a column of Syrian troops in the city of Raqqah in an apparent attempt to hinder their deployment to the north.
The US military also tried to hinder the dispatch of Syrian and Russian forces near Manbij, the London-based war monitoring group said.
Kurdish authorities said the deal “paves the way to liberate the rest of the Syrian cities occupied by the Turkish army such as Afrin” in northwest.
Ankara says the operation is meant to purge YPG militants, the backbone of the US-backed SDF militant group, which Turkey views as terrorists linked to local militants of the Kurdistan Workers’ Party (PKK).
Residents of the northern city of Qamishli on Sunday celebrated the announcement that the Syrian troop deployment.
People were seen on motorcycles and standing on vehicles, dancing and waving Syrian flags in the streets of Qamishli, AFP news agency reported.
Crowds of people also gathered in the streets of Hasakeh to celebrate the planned deployment of government troops. They waved national flags and blared horns to celebrate the army build-up.
Rami Abdel Rahman, head of the so-called Syrian Observatory for Human Rights monitoring group, said Kurdish authorities had “made compromises to Syria in order to stop the advance of the Turkish forces in the north.”
SDF chief Ferhat Abdi Sahin, also known as Mazlum Abdi, acknowledged that "there would be painful compromises" with the Syrian government in a bid to save the lives of people.
“In light of the invasion by Turkey and the existential threat its attack poses for our people, we may have to reconsider our alliances,” he said in an opinion piece published in the US Foreign Policy magazine on Sunday.
Badran Jia Kurd, a senior Kurdish official, said the Kurds felt they had no choice but to turn to Damascus in the face of the “betrayal” of Washington, noting, “This has obliged us to look for alternative options."
Since it was launched on Wednesday, the Turkish military incursion has killed dozens of people and displaced tens of thousands of Syrians.
On Sunday, President Tayyip Erdogan said Turkey’s incursion will stretch from Kobani in the west to Hasakeh in the east, going some 30 km (19 miles) into Syrian territory.
The Observatory said earlier Sunday that Turkish troops and their militant allies had entered Suluk, some 10 km from Turkey's border.
Addressing a news conference in Istanbul, Erdogan said Turkish forces had also besieged the Syrian border town of Tel Abyad, west of Ras al-Ain.
"We focused first on the 120-km area between Ras al-Ain and Tel Abyad. Thus we will divide the 480-km terrorist corridor down the middle,” Erdogan said.
"Then we will take control of Hasakeh on the one side and Ain al-Arab (Kobani) on the other and complete the operation,” he said, referring to towns either side of the current focus of operations.
Turkish troops have so far seized control of 109 square km territory, including 17 villages around Tel Abyad and four villages around Ras al-Ain, Erdogan said.