This song is actually played on piano but here are the chords anyway...

Standard Tuning
Fingerpicked (recommended)

Intro.
Am F Dm

Verse 1.
Am      F
Goodbye black butterfly
Dm
You can take those perfect wings
Am              F    Dm
Into outer space
Dm              Am
Cause there's no place
F
Left in this blood
Dm
For your restless fluttering
Am                  F     Dm
Your sleepless ways.

Chorus.
Am              F
Black Butterfly flutter me by
Dm
Kick a little glitter into the night
Am
Spark up the stars
F
Leave alone my heart
Dm
I'm trying to be good by you alright, alright

Intro.
Verse 2.
Chorus.

yeah, so its basically the same all the way through, not too complicated.