Alagbon Close was named after the headquarters of the Nigerian Criminal Investigation Department in Lagos. It was where Fela was detained after the 2nd raid on his home failed to find anything incriminating. The title track calls out the Nigerian police’s violence and arrogance and apparent immunity from prosecution. Alagbon Close was also the first of Fela’s albums to have a sleeve designed by Ghariokwu Lemi, whose artwork became an integral part of Afrobeat's message.

LP pressed on Jollof orange vinyl in a single pocket wide-spine jacket, wrapped with a gold foil OBI strip.