A close confidante of President George Bush, Ms Rice has risen rapidly through the ranks in the White House, previously holding the post of US National Security Adviser.
Gerry Poole, co-chairman of Merseyside CND, said: "It is with the greatest anger, and a sense of dismay that we learn of the forthcoming visit of Condoleezza Rice, to our fair city.
"And that she should be feted and welcomed by our city fathers, and furthermore be granted the honour of a gala concert by the Royal Liverpool Philharmonic, is totally beyond belief.
"It should be remembered, that this woman has been involved from the very start with the illegal attack and occupation in Iraq, the policy of rendition, and the illegal detention of so many people in Guantanamo Bay.
"Our hearts also go out to the many families in the North West, who have lost sons and fathers in this disgusting and illegal war, that has been aided and abetted by this woman.
"We would call upon all our fellow citizens to boycott the gala concert at the Philharmonic, and to the musicians we would say be true to your noble calling, and refuse to play for this occasion."
A spokesman for Merseyside Police said: "We are currently talking to the Foreign and Commonwealth Office about the plans. No more information is currently available."