Before the full results were announced late on Sunday, three of Barrow’s rivals had rejected partial results.
One million voters were registered in the election seen as a key test for stability for the small West African country.
Six candidates, including incumbent President Adama Barrow, vying for the country’s top post in Saturday’s election.
Analysts say the real test of the fledgeling democracy is not whether an election can be held but what happens after it.
Concession means incoming Xiomara Castro will become country’s first female president.
Final count confirms Muqtada al-Sadr’s bloc won 73 out of 329 seats in Iraq’s October election.
Magdalena Andersson will form a one-party, minority government. Cabinet expected to be named on Tuesday.
With more than half the votes counted, Xiomara Castro had commanding lead over ruling party candidate Asfura.
Irregularities reported in parliamentary vote after election commission’s website appeared to suffer technical issues.
Victory for Xiomara Castro could make her Honduras’s first female president and first from the left since 2009.
Opposition fears of a rigged vote and reports of pre-election intimidation have led to high tensions.
Vote expected to favour allies of President Sadyr Japarov, who has cemented his grip since coming to power last year.
Election is the third vote under Abdelmadjid Tebboune who promised to reform state institutions.
Experts raise concern over potential fraud in Sunday’s vote, which could end conservative National Party’s 12-year rule.