The demonstration was concentrated on a park in the Miraflores district of Lima.
Guzman was captured in 1992 in the capital and jailed for the rest of his life after being convicted of the charge of terrorism.
A former philosophy professor, Guzman was a lifelong communist who went to China in the late 1960s and was awed by Mao Zedong's Cultural Revolution.
He resolved to bring Mao's brand of communism to Peru through a class war that he launched in 1980.
Guzman founded the Sendero Luminoso, or Shining Path, transforming it from a ragtag band of peasants and radical students into Latin America's most stubborn guerrilla force.
An estimated 69,000 people, mostly in Peru's poor interior, were killed between 1980 and 2000 in the internal conflict launched by the Shining Path.