The President is in Lagos to inaugurate some projects.
Tinubu was said to be out of the country with some prominent members of the APC.
President Buhari landed at the Presidential Wing of the Murtala Muhammed Airport, Lagos at 10.32 a.m on Wednesday amid tight security.
Buhari arrived aboard a Nigerian Air Force Boeing aircraft with registration number 5N-FGT.
He was received with a dance by cultural troupe and a Presidential Guard of Honour.
Governor Akinwunmi Ambode of Lagos State, Oyo State Governor, Abiola Ajimobi; Governor Rotimi Akeredolu of Ondo State and Deputy Governor of Edo, Phillip Shuaibu.
Others include Babajide Sanwo-Olu, Lagos State Governor-elect and his deputy, Obafemi Hamzat .