Question: There is a passage in the New Testament that says, I paraphrase: Every morning I wake up a new person. Or: Every morning I am born a new man. I think Apostle Peter or Apostle Paul is speaking it. Can someone help me track the exact quote with textual reference? Thanks.

Answer: 
I believe you're thinking of **2 Corinthians 5:17 (KJV)**

> 
> 17 Therefore if any man be in Christ, he is a new creature: old things
>  are passed away; behold, all things are become new.
> 
> 
> 

It's not "every morning" but it is the passage that comes to mind with the teaching that we are made new. It deals with out new relationship in Christ after salvation.

In the Old Testament, there is **Lamentations 3:22-23 (KJV)**

> 
> 22 It is of the Lord's mercies that we are not consumed, because his
>  compassions fail not.
> 
> 
> 23 They are new every morning: great is thy faithfulness.
> 
> 
> 

If neither of these are what you're thinking of, you can search many versions of the Bible at <http://www.biblegateway.com/passage/?search=Lamentations+3%3A22-23&version=KJV>
2nd Corinthians 5:17 is all you need to be concerned about. It is every second every day thing that takes place in Christ.