In its manifesto for the assembly elections, the party set out six other tests which it said were required for a lasting political settlement.
The DUP said all parties aspiring to be part of the Northern Ireland government must turn their backs on violence for good.
In an attack on Ulster Unionist leader David Trimble, the party said the UUP could no longer be trusted to represent the unionist community in negotiations.
The outcome must provide a settlement within the UK, not a process to a united Ireland. It must provide stable government for the people of Northern Ireland and not be susceptible to recurring suspension
The party said the British and Irish Governments' political process proposals - outlined in their joint declaration - were a "threat to Ulster" and offered a "raft of concessions" to republicans.
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The DUP will confront, resist and destroy the republican agenda - it's time he said for a new start
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If the UUP remained the largest voice in unionism, it would lead to a "nightmare" in the next four years, said the DUP.
It said Sinn Fein President Gerry Adams would become deputy first minister and his colleague Gerry Kelly would be nominated as policing and justice minister.
This would lead to ministers acting unaccountably and cross-border rule between the Irish and Stormont Governments, with a permanent place for republicans in government, said the DUP.
DUP leader Ian Paisley said the 26 November election was "Ulster's date with destiny".
He said the DUP would "confront, resist and destroy the republican agenda", adding: "It's time he said for a new start."
Deputy leader Peter Robinson said the DUP offered a new unionism.
The party's 32-page manifesto also contains pledges to senior citizens, including the provision of free travel on public transport to all over-60s; free personal and nursing care for older people; free TV licences to all over 65; more security for the elderly in their homes and a substantial increase in the size of the state pension.
The manifesto also pledged to: