It's most likely not what he actually plays, but these chords sound about right to me.
Listen to the song to figure out the strumming pattern and how to alternate
between A and Asus2 (which is simply the A with your third finger lifted.)
Intro: A Asus2 A Asus2
First Verse:
AAsus2
Ain't it kinda funny
AAsAsus2
Ain't it just the way though
E
Ain't 'cha gettin' better
AAsus2
Runnin' out of time
AAsAsus2
Making pretty music
AAsuAsus2
Closer to your feelings
E
Working on the reason
AAsAsus2
Running on the rhyme
Chorus:
D
Heading for the highway
( Tab from: http://www.guitartabs.cc/tabs/k/kris_kristofferson/closer_to_the_bone_crd.html )
AAsAsus2
Rolling like a river
E
Soaring like an eagle
AAsAsus2
Skippin' like a stone
D
Comin' from the heartbeat
AAsus2Asus2
Nothin' but the truth now
E
Everything is sweeter
AAsuAsus2
Closer to the bone
Second Verse:
Ain't afraid of moonlight
Ain't afraid of freedom
Love will make you crazy
But your soul will keep you sane
Singing to the starlight
Over the horizon
Open to the pleasure
Equal to the pain
Chorus:
Heading for the highway
Rolling like a river
Soaring like an eagle
Skippin' like a stone
Comin' from the heartbeat
Nothin' but the truth now
Everything is sweeter
Closer to the bone
----------
Chords:
A: 002220
Asus2: 002200
E: 022100
D: xx0232