John 3:16 - 18
ESV - 16 For God so loved the world, that he gave his only Son, that whoever believes in him should not perish but have eternal life. 17 For God did not send his Son into the world to condemn the world, but in order that the world might be saved through him.
For follow-up discussion and general commentary on the topic. Comments are sorted chronologically.
Is "accepting Jesus as Savior" in the Bible?
verb (used with object)
1. To take or receive something offered (I Cor 11:23-26 (communion), John 20:21-23 (Holy Spirit), Acts 8:15 (word of God, Holy Spirit), Luke 11:5-13 (Holy Spirit) Rom 5:9-11 (Reconciliation)
"But to all who did receive Him, He gave them the right to be children of God, to those who believe in His name". (John 1:12) (accepted Jesus).
2. To agree or consent to; accede to (such as 'I accept the New Covenant in Christ's blood', or 'Lord, I do believe'). Mark 8:29, John 9:35-41,
3. To respond or answer affirmatively to (Matt 22:1-14) (Answer affirmatively to the invitation to come to the Kingdom of Heaven)
4. To undertake the responsibilities, duties, honors, etc. of: (Rom 12:1, Josh 24:15, II Cor 5:11-21, I Cor 15:58, I Pet 2:9)
5. To receive or admit formally, as to a college or club (Rom 6:3-5, Rom 8:15-17; Gal 3:26-29, John 1:11-13, Acts 11:19-26)
6. To accommodate or reconcile oneself to (Rom 5:9-11, II Cor 5:16-21)
"... We implore you on Christ’s behalf: Be reconciled to God..." II Cor 5:20
7. To regard as true or sound, believe (John 3:16-18, Phil 1:29, John 1:7, I Pet 1:3-12)
verb (used without object)
To accept an invitation, gift, position, etc. (See above, plus John 4:10, Rom 6:23, etc)
So, yes, the concept of 'accepting Jesus as Savior' is found throughout scripture.