I have read various mythological and histories about curse where it has destroyed kingdoms and kings. Does curse have that power? If so, how it can be explained in relation to karma? What is Buddhism's view on curse?
Curse is utterance of hatred to inflict harm or punishment on someone or something. I think the mind is like a double-edged sword. Besides mind precedes everything. The powerful mind could be used for both good and the bad. So contrary to popular belief I found the following instance in Vimanavattu.
Ujjaṅgalaṃ tattamivaṃ kapālaṃ,
Anāyasaṃ paralokena tulyaṃ;
KN Vv -10 Serīsakavimānavatthu
I could not find an "official" English translation online but based of Buddha Jayanthi Edition, translation goes like this;
There is only dust and scorching sand. This rough soil is like a scorched iron pot. It is like hell, without any happiness. This place has been haunted by ghosts for a long time. It seems that this land is under a curse of rishis.