Ini Is A Gender-neutral Name Of Nigerian And Jamaican Origin. In Nigeria, It Means “time” Or “God’s Time.” If You’re Hoping To Pass Your Faith On To Baby, This Name Will Encourage Them To Always Make Time For God! Ini, Sometimes Known As “I And I,” Is Also A Rastafarian Concept Relating To The Oneness Of Humanity And The Presence Of God Within Every Person. A Famous Bearer Of This Name Is Jamaican Reggae Artist Ini Kamoze.