"I will look after all Fijians," he said while addressing people at the ANZ Stadium here Sunday, Fiji Live reported.
Fiji is home to a large Indian-origin population.
"I say to you, please come and let's all move forward together -- we must have an inclusive Fiji in which no one is left behind," Bainimarama said.
"I will be your prime minister too. Because I passionately believe in One Nation, One Fiji and that everyone has a place in it, whoever you are, wherever you come from and whoever you voted for," he added.
The FijiFirst party of Bainimarama that came to power in 2006 after a bloodless coup, received 60 percent of the votes in the elections.