With almost all votes counted, Syriza had won more than 35%.
In a speech earlier on Sunday, Mr. Tsipras urged Greeks to opt for “a new four years of government that will fight for the dignity of the people….We are fighting for the great victory of the left in Greece and to maintain hope across Europe”.
“This victory belongs to the people and those who dream of a better tomorrow and we’ll achieve it with hard work”, Tsipras said, describing the win as a clear mandate to govern for a full four-year term.
He also confirmed scenarios of forming a new government with the junior coalition partner of the first seven-month Leftist-led administration by embracing Panos Kammenos, the leader of the Right-wing Independent Greeks (ANEL) party on the same stage.
This is the fifth general election in the country in six years and was triggered by Mr Tsipras’s resignation as prime minister last month.
Celebrating Syriza’s victory, supporters cheered, waved party flags and danced as New Democracy head Vangelis Meimarakis conceded defeat on Sunday night and called for a government to be formed quickly.
Tsipras surrendered in August and called snap decisions, betting emergency exhausted Greeks would give him another order in spite of his combative bailout manage European pioneers.
Turnout was roughly 56.5pc, down from the 63.6pc recorded in January’s elections as rising numbers of Greeks grow disillusioned with their politicians.
During his short spell in office, Tsipras battled with Greece’s creditors, before caving into their demands which had previously been rejected by the Greek people in a national referendum.
Far-right fascists Golden Dawn struggled home with just 7.1 per cent of the vote.
The party differs from Syriza on many traditionally conservative issues, pledging to crack down on illegal immigration and defend the close links between the Orthodox Church and the state.
The new government will also need to handle growing numbers of refugees.
A total of eight parties won parliamentary seats, including the once-dominant Socialist Pasok, centrist Potami and the Greek Communist Party.
He said if he had not agreed to the three-year bailout, Greece would probably have had to leave the eurozone.
“Even with a renewed mandate and shorn of the more radical members of his party implementation risk of the new bailout program remains a key concern”, says Michael Hewson of CMC Markets.