The party said the charter had been agreed by all assembly candidates and UUP MPs - including rebel MPs Jeffrey Donaldson, David Burnside and Martin Smyth.
The principles, published on Tuesday, commit the party to achieve the end of loyalist and republican paramilitary groups.
Oppose any amnesty or apparent amnesty for fugitives
from justice (OTRs)
Peter Robinson said charter was "a con"
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Meanwhile, speaking at UUP headquarters on Tuesday, Mr Trimble said he was saddened that his party's former chief whip, Ivan Davis, had chosen to stand as an independent in the Lagan Valley constituency.
Asked if Mr Davis would be expelled, Mr Trimble said the Ulster Unionists were a party of rules and the rules must take their course.
Mr Davis said he was running "to ensure that the wreckers do not succeed".
However, Jeffrey Donaldson, who is also standing in Lagan Valley, accused him of putting "personal interests" before wider unionism.
Mr Davis, who was deselected by the UUP, said: "Essentially I am standing to ensure that the wreckers do not succeed."
Responding to the UUP's charter, Sinn Fein's Gerry Adams said: "Our task is to deal with Sinn Fein's platform - not the platform of any other party."
SDLP's Mark Durkan said the principles were "a whitewash"
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Democratic Unionist Party deputy leader Peter Robinson dismissed the Ulster
Unionist charter.
"Signing up to the charter is a con on the part of pro-agreement Ulster
Unionists and a climb down on the part of so-called anti-agreement unionists."
SDLP leader Mark Durkan said: "Fair play to the other parties. When they whitewash they come up with 10 principles."