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

Standard Tuning
Fingerpicked (recommended)

Intro.
Am F Dm

Verse 1.
Am (x02210@1)    FGoodbye (133211@1)black butterfly
DmYou (xx0231@1)can take those perfect wings
Am (x02210@1)            F (133211@1)  DmInto (xx0231@1)outer space
Dm (xx0231@1)            AmCause (x02210@1)there's no place
FLeft (133211@1)in this blood
DmFor (xx0231@1)your restless fluttering
Am (x02210@1)                F (133211@1)   DmYour (xx0231@1)sleepless ways.

Chorus.
Am (x02210@1)            FBlack (133211@1)Butterfly flutter me by
DmKick (xx0231@1)a little glitter into the night
AmSpark (x02210@1)up the stars
FLeave (133211@1)alone my heart
DmI'm (xx0231@1)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.