His sentiments come a day after President William Ruto dismissed any plot to amend the Constitution to extend his term limit.
Ruto said he was not interested in extending his term, asking lawmakers allied to him to instead focus on amending laws that will benefit Kenyans.
"Do not spend your time pushing for selfish and self-serving legislation, like changing the Constitution to remove term limits. My focus is service to the people," Ruto said.
According to Besigye, Uganda has one of the worst records of human rights violations and has disregarded the rule of law under President Yoweri Museveni.
The country celebrated 60 years of independence on Sunday 9 October.
"All these years no leader has ever handed over power peacefully. Similarly, of course, whoever has occupied the highest office in the country has bombed his way into office, which precisely means the people of Uganda do not have the capacity to raise one of them to leadership or to say stop... In other words, the population has no voice in deciding their leaders," he said.
"Every human being aspires to have freedom. It is an intrinsic need for humans to have justice and be treated fairly. The people of Uganda believe in a political dispensation that will accord that kind of governance," he said.
In an exclusive interview with NTV on November 16, Besigye said that Museveni was perceived to be the most enlightened, but turned out to be the worst in human rights violations.
"The abuses since 1986, when the government was supposed to be more enlightened took over, have been more. Ugandans have seen far greater injustices and violence under Museveni's rule. Probably because he's been here longer," Besigye said.