Mahler Four and Five are on the programme, and principal trumpet player Rhys Owens will play first trumpet in the Fourth Symphony.
Graham Johns meanwhile is one of the founder members of the World Orchestra for Peace, established in 1995 by Sir George Solti to promote peace through music.
The principal percussionist appears alongside principal timpanist Neil Hitt in the 7.30pm concert under the baton of the LSO's conductor Valery Gergiev.
RLP chief exec Michael Eakin saiys: "The audience response and critical acclaim for the RLPO's own Prom concert a couple of weeks ago showed what a fantastically high standard of musicianship we now have in Liverpool.
"The fact three of our principal players should be invited to be part of the prestigious World Orchestra for Peace is a further testament to the depth and quality of our musicians, equal to that anywhere in the world."