The Prime Minister will meet both Arlene Foster and Michelle O'Neill as well as a first face-to-face meeting with Taoiseach Micheal Martin during his visit.
O'Neill said she had called for a British-Irish Council meeting for a Covid-19 response and that it was met favorably by Mr. Johnson.
On the issue of concluding a deal on Brexit, Mr. Martin said it was not his role to be the referee in talks between the United Kingdom and the European Union, but he said he believes that "where there's a will there's a way" and he thinks there is a "landing zone" for both sides.
Asked how Wilfred was getting on as the posed for the cameras at Hillsborough Castle, Mr Johnson enthused: 'He is getting to the stage where he is starting to vocalise when he wants us'.
The centenary is an opportunity to celebrate the people, places and products of Northern Ireland, which has such rich sporting, cultural, entrepreneurial and academic talent.
Meanwhile, DUP leader Arlene Foster, the First Minister, said she fully supported celebrating the creation of Northern Ireland and insisted history can not be ignored.
"As the country begins to get back on its feet in the wake of coronavirus, we can not simply strive to rebuild, but we must commit to building back stronger than ever", he said.
"As the country begins to get back on its feet in the wake of coronavirus, we can not simply strive to rebuild, but we must commit to building back stronger than ever", he said in a statement.
Northern Ireland Secretary Brandon Lewis said the centenary year would promote the region on a world stage.
'We will use the centenary next year to promote it on the world stage, celebrating its people, culture, traditions and enterprise and its vital contribution to the United Kingdom'.
"It is challenging times ahead with Covid, Brexit, all of that".
This comes after Mr Johnson said he is looking forward to developing a relationship with the Taoiseach.
Mr Johnson's ambitious plan to bridge the Irish Sea, linking Northern Ireland to the mainland for the first time since the end of the last Ice Age, is part of his "build, build, build" agenda for the UK.
Mr Johnson agreed that the meeting provided an appropriate moment to remember Mr Hume's legacy.
"It's not about trying to prove a point - there will be different perspectives in relation to obviously the centenary commemoration of 1920 and 1921 in respect of the island of Ireland, both in the Republic we will be doing our centenaries and likewise in the north".
Shortly after arriving at the castle, the taoiseach joined the prime minister for a walk in the restored grounds of the royal residence and tourist attraction in an affluent village near Belfast.