Yet to all who did receive him, to those who believed in his name, he gave the right to become children of God – (NIV)

But to as many as did receive and welcome Him, He gave the authority (power, privilege, right) to become the children of God, that is, to those who believe in (adhere to, trust in, and rely on) His name--[Isa. 56:5.] (AMP)

But as many as received him, to them gave he power to become the sons of God, even to them that believe on his name: (KJV)