From the book of Ezeikel 36:26
There's a passage that reads
A new heart also will I give you
and a new spirit will I put within you
I will take away the stoney heart
out of the flesh and will give you 
a new heart of flesh.
This adds meaning to the question
we ask in this song.
[Soloist 1]2x    Tempo 123 R&B tab4

F#
What can I give Him
B	   F#
Poor as I am
D#m
If I were a shepherd,
		    G#m
I would bring Him a Lamb
D#m	    C#    B
If I were a wise man,
		G#m  Em
I'd would do my, my part
   F#	G#m B      C#
So what can I give Him

[Chorus1]
C#		 F#
I'll give Him my heart

[Soloist 2]
I'd give Him my hands
but they would do wrong
I'd give Him my feet 
but they can't stand alone
I'd give Him my mind
but it was wrong from the start
so what can I give Him

[Chorus1]

[Chorus2]
D#m C# B
I will give Him my heart

[Chorus3]
D#m C#  B
It all belong to God

Soloist 1
What-can-I-give-Him

[Chorus1]
I'll give Him my heart