During his visit, the Prime Minister will meet with the Executive's First Minister Arlene Foster and deputy First Minister Michelle O'Neill.
"I see the hand of the future", Mr Johnson said.
Northern Ireland also faced a Monday deadline to restore the government or be required to hold a new election for the assembly that could see Sinn Fein and the DUP lose ground to less intransigent parties.
Northern Ireland has the longest waiting lists in the United Kingdom and faces new strikes from NHS workers, including nurses, due to a disparity in pay between them and their colleagues across the Irish Sea.
Ahead of Mr Johnson's arrival, a Stormont minister said he expected the Government to deliver at least £2billion to support the powersharing deal.
This morning he's traveling to Belfast to meet the British Prime Minister Boris Johnson as well as political leaders in Northern Ireland after the re-establishment of the Stormont Executive over the weekend.
Mr Johnson, who met the leaders of the Stormont Assembly on a visit there on Monday, insisted there would be no "unfair" prosecutions of veterans.
The previous local administration collapsed in January 2017 with the resignation of Sinn Fein Deputy First Minister Martin McGuinness over a botched energy saving deal.
Mr Johnson said discussions at Stormont would focus on how the executive meant to take forward "critical reforms" to public services.
DUP agriculture minister Edwin Poots warned that the money could come with "strings attached", potentially by way of a commitment from the executive to raise extra revenue through the introduction of water charges or a hike in rates bills.
Northern Ireland's assembly reopened on Saturday following three-year's of political deadlock after rival nationalist and unionist parties agreed to a new power-sharing deal with Brexit looming.
These are the "bread and butter issues that have been ignored for the last three years", Pow said.
"I just want to say how grateful I am to all the parties, to everybody here in Northern Ireland, for the way they have compromised the way they have worked together to get Stormont up and running once again", Johnson told a press conference following the meeting with the new executive.
At the heart of the deal that resurrected the decentralized power-sharing government was a plan by the British and Irish governments to create two new "language commissioners" as part of a cultural policy to put Irish on the same footing. on an equal footing with English while protecting Ulster.
The U.K.'s Northern Ireland Secretary, Julian Smith, said in a statement that it's a "moment of truth" for the peace process, and that the proposals are "a fair and balanced deal".