Emma Little-Pengelly said she had received an invitation for the event but added that she had other commitments for Remembrance Day.
First minister Michelle O’Neill will attend the inauguration at Dublin Castle.
Catherine Connolly will be inaugurated as president on Tuesday. Photo: PA
However, the DUP’s Ms Little-Pengelly has said it will not be possible for her to attend due to other engagements.
“I have received an invitation for the inauguration events for the Irish president on Tuesday, but it will not be possible for me to accept due to a number of other commitments in Belfast and Windsor,” she said.
“Tuesday marks Remembrance Day, an important day for so many.
“I am scheduled to attend a service and to participate in an Act of Remembrance in Parliament Buildings before travelling to Windsor Castle at the invitation of their majesties the king and queen for a special reception to commemorate VJ Day 80th anniversary to honour veterans of World War II, and in particular of the Pacific on this day of remembrance.
“It is therefore not possible to also attend the inauguration.
“I wish Catherine Connolly well as she takes up office, recognising that this is undoubtedly a significant personal honour for her, and I hope to speak with her personally in the next number of days.”
Ms Connolly had previously said that she would like her first official visit as president to be to the North.
She said she would use her voice “in every way possible” to try to secure Irish unity during her term, a move at odds with the DUP’s unionist stance. She said she viewed Ireland uniting as “inevitable”.
“I would like to see a united Ireland in my term as president. I will use my voice in every way possible for that vision to be a reality,” Ms Connolly said during her campaign.
“Obviously, it has to be done by consensus with respect for all communities and all traditions.
“Personally, I would love to see it in my tenure as president.
“It is the firm will of the Irish people to have a united Ireland, I will voice at all levels to bring that about by peaceful means, by consent, and it’s something I look forward to.”