Ossoff vows to 'give everything' in representing Georgiapublished at 13:26 Greenwich Mean Time 6 January 2021
In his victory claim, streamed on his YouTube channel, Ossoff said he was "honoured" to have been chosen by the people of Georgia.
"Thank you so much for the confidence you have placed in me," the Democrat said.
"Whether you were for me or against me, I will be for you in the US Senate – I will serve all the people of this state, I will give everything I've got to ensuring that Georgia's interests are represented in the US Senate."
Ossoff said his campaign had been focused on health and the economy, and that these would be "my guiding principles as I serve".
He said it was time for Americans to "unite now to beat this virus" and provide fast economic relief for those in need.
He also mentioned Democratic Congressman John Lewis, who was a member of the House of Representatives from Georgia's 5th District.
Lewis died of pancreatic cancer aged 80 last July. He was the last survivor of the "Big Six" civil rights leaders, who included Martin Luther King Jr, and he helped organise the historic 1963 March on Washington.
US media have mostly not called the race for Ossoff, and his Republican rival has not conceded.