This tab is in drop D tuning
From high to low it is:
G
D
A
D

Intro (Main Riff)
G|--------------------------------------------------|
D|--------------------------------------------------|
A|--3h5-5-5-5-5--0-3--5-0---------------------------|
D|-------------------------5--5-3--0--3h5-5-5-0-0-0-| x4

Verse
G|-------------------------|
D|-------------------------| Play Verse, then Main Riff once, then repeat
A|--5-5-5-5-5--0-3--5------|
D|--------------------5~~~~|

Chorus ("Spoonman Come together with your hands)
G|----------------------------------|
D|--0---0---0-----5---3-5-3---------|
A|----3---3---3-0------------5-3-0--|
G|----------------------------------|

Verse
Main Riff 4x

Bridge
G|----------------------------------|
D|--0---0---0-----5---3-5-3---------|
A|----3---3---3-0------------5-3-0--|
G|----------------------------------|

G|-----------------------------------|
D|--0---0---0-----5---3-5-3----------|
A|----3---3---3-0------------5-3-----|
G|-------------------------------3~~~|

G|-----------------------------------|
D|--0---0---0-----5---3-5-3----------|
A|----3---3---3-0------------5-3-----|
G|-------------------------------5~~~|

Main Riff 4x

Drum solo 8x
Enter after 8x with
G|----------------------------------|
D|--0---0---0-----5---3-------------|
A|----3---3---3-0-------5-3---------|
G|---------------------------5-3-0--| 20x

Chorus
Main Riff 4x

Outro
G|-------------------------|
D|-------------------------|
A|--5-5-5-5-5--0-3--5------|
D|--------------------5~~~~|

G|-------------|
D|-------------|
A|--5-5-5-5-5--|
D|-------------|

That should do it, just listen to the song a few times to really know where to come in.
It's not too difficult but getting the timing down is more important that the actual 
at first.
Anyways, enjoy and have a blast!