His rival Salvador Nasralla says he will not accept the result, but urges his supporters to remain calm.
Nasry Asfura has been declared the winner of Honduras' razor-thin presidential election, after weeks of delays following technical problems and allegations of fraud.
The conservative National Party candidate - backed by US President Donald Trump - won with 40.3% of the vote, according to the National Electoral Council (CNE), edging out Salvador Nasralla of the centre-right Liberal Party, who got 39.5%.
In a post on X, Asfura said: "Honduras: I am ready to govern.
Meanwhile, Nasralla said at a press conference: "I will not accept a result built on omissions." But he also urged his supporters to remain calm.
US Secretary of State Marco Rubio urged all parties to respect the result "so that Honduran authorities may ensure a peaceful transition of authority".
But the president of the country's Congress, Luis Redondo, posted saying the result was "completely illegal".
The vote was held on 30 November but the count was delayed twice by technical outages, which electoral officials called "inexcusable".
The president of the CNE, Ana Paola Hall, blamed the private company tasked with tabulating the results for the delay.
She said the firm had carried out maintenance without warning or checking with the CNE.
The stoppage came a day after the portal displaying real-time results had crashed.
Results of the election were tight and, because of the tumultuous nature of the processing system, around 15% of the tally sheets had to be counted by hand for the winner to be decided.
There have been tensions in Honduras as a result of the delays with protests held across the country last week.
Thousands of supporters of the governing Libre party demonstrated in the capital Tegucigalpa over what they considered fraud in the vote.
The political importance lies in whether the issue moves from public comment into formal action, party response, court record, election authority notice or administrative decision.
For public institutions and political groups, the next test is whether the issue remains a public argument or turns into a formal response, legal proceeding, administrative instruction or election-related communication.
