Sum41 plays it live in drop D but here is the way to play it standard.Intro: play this a few times.
E|----------------------------------|
B|----------------------------------|
G|----------------------------------|
D|-2-2---5-7---9--5-----------------|
A|-2-2---5-7---9--3-----------------|
E|-0-0---3-5---7--3-----------------|

Chorus
E|----------------------------------|
B|----------------------------------|
G|----------------------------------|
D|-2-2---------9-7-2-2--------------|
A|-2-2---------9-7-2-2--------------|
E|-0-0---------7-5-0-0--------------|

Intro again a few times.

E|----------------------------------|
B|----------------------------------|
G|----------------------------------|
D|-2-----9--7/9\7-------------------|
A|-2-----9--7/9\7-------------------|
E|-0-----7--5/7\5-------------------|

                  |  This is played a few times           |
E|----------------|---------------------------------------|
B|----------------|---------------------------------------|
G|-pm------pm-----|--pm-----pm-----pm---------------------|
D|-77-7/9--99-9\7-|--77-7---77-7---77-7-------------------|
A|-77-7/9--99-9\7-|--77-7---77-7---77-7-5h7p5h7h8p7-------|
E|-55-5/7--77-7\5-|--55-5---55-5---55-5-------------------|
This is the part where dave is screaming SHOUT AT THE DEVIL!


This is when the other guy comes in and the guitar starts to get all heavy.
E|----------------------------------|
B|----------------------------------|
G|----------------------------------|
D|-7/9--9\7--7\5--------------------|
A|-7/9--9\7--7\5--------------------|
E|-5/7--7\5--5\3--------------------|

The rest of the song is just a bunch of heavy muting and
you should be able to get it by listening to it or 
watching the video.

This may not be perfect but pretty close.
===========Sum 41       - No Sleep ‘till Brooklyn
Tabbed By: CRAIG WILSON

MAIN RIFF VERSE RIFF
G|-------------7---| G--------------------
D|-2-2--5-7----7-7-| D-2-------2------5-7-
A|-2-2--5-7----5-7-| A-2-------2------5-7-
E|-0-0--3-5------5-| E-0-------0------3-5-
 
END OF CHORUS
G|-------------------------------7---|
D|---2-------5-----------------7-7-7-|
A|---2-------5-----------------7-5-7-|
E|---0-------3-----------------5---5-|
NO SLEEP TILL BROOKLYN!