Believe it or not, the chords on their website are wrong.  This is what my ear 
picks up. It seems to be what they're playing on the track. 

Capo 1- chords relevant to capo

Intro:  C   G/C   C   G/C           F    C/E    F

Verse 1:
       C        G/C        C    G/C      F        C/E  F
Spirit come and change the atmosphere convict and open hearts to hear
    C       G/C      C      G/C      F      C/E     F       G
The anthems that the angels sing the worship of the King of Kings

Pre Chorus 1:
    F           G        F            G
For Jesus reigns.   Over all He reigns

Chorus 1:
              F                   C      G
We exalt Your name high above the heavens
              F              C     Am    G
We exalt Your name all of creation sings praise
    F           G       C           F
For Jesus reigns.  Over all He reigns (only after 1st chorus)

Verse 2:
     C                                  F/A                      F
Your presence fills and satisfies tears down the walls we hide behind
    C/E                           F               G
Oh, God of every aching heart, we long for You in light and dark

Pre-Chorus 2:
    F           G       F/A          G/B
For Jesus reigns.  Over all He reigns      (to chorus 1)

Chorus 2:
              F                   C      G
We exalt Your name high above the heavens
              F              Am    F     G
We exalt Your name all of creation sings praise
    F           G      F/A           G/B           F 
For Jesus reigns.  Over all He reigns   (repeat) 
    C     G
You reign

(chorus 1/ chorus 2)

Outro:
    F           G      F/A           G/B
For Jesus reigns.  Over all He reigns
    F           G       C
For Jesus reigns.  Over all He reigns
 Am  G         C    
 We exalt Your name.  (x3)