Alright, so this is my first transcription.  I'm fairly certain that all the chords are
 From watching Jackson play this on The Colbert Report, he plays in drop D, but I think it
sounds fine in standard.

I've only listed chords for each part once, listen to the song for the proper changes 
timing.

rev 1 - messed up on some chords, should be F# instead of Fm

[verse]
G (320003@1)                         DSometimes (xx0232@1)I get to feeling low
G (320003@1)                            DWish (xx0232@1)I could just pick up and go
D (xx0232@1)       F# (244322@1) Bm (x24432@1)              Bm7Somewhere (x20202@1)new change my point of view
E (022100@1)          A (x02220@1)         DMaybe (xx0232@1)somewhere I don't know
G (320003@1)                   DToss (xx0232@1)the idea to and fro
G (320003@1)                             DNot (xx0232@1)sure what makes it come and go
D (xx0232@1)       F# (244322@1)     Bm (x24432@1)           Bm7There (x20202@1)it is again sweet music on the wind
E (022100@1)       A (x02220@1)     DOver (xx0232@1)the Gulf of Mexico

[chorus]
GI'm (320003@1)going to down to Cuba someday soon
                DFollowing (xx0232@1)that Caribbean moon
A (x02220@1)            Asus4 (x02230@1)              DIt's (xx0232@1)been too long since I've been there
               GI'm (320003@1)going down there to see my friends
                DDown (xx0232@1)where the rhythm never ends
A (x02220@1)              Asus4 (x02230@1)             DWhere (xx0232@1)women wear gardenias in their hair

[bridge]
F# (244322@1)                            BmPeople (x24432@1)will tell you it's not easy
F# (244322@1)                            BmYou're (x24432@1)not supposed to go, they say
F# (244322@1)                       BmThey (x24432@1)say that Cuba is the enemy
E (022100@1)                    AI'm (x02220@1)going down there anyway

[chorus]
I'm going down to Cuba to see my friends
Down where the rhythm never ends
And no problem is too difficult to solve
Yeah times are tough down there it's true
But you know they're gonna make it through
They make such continuous use of the verb to resolve

[bridge]
They've got to deal with that embargo
Enough to drive any country insane
They might not know the things you and I know
They do know what to do in a hurricane

[verse]
Maybe I'll go through Mexico
Old Jesse Helms don't have to know
Anyway all the allies of the USA
Travel to Cuba everyday

[chorus]
I'm going down to Cuba to see my friends
Down where the rhythm never ends
Where by comparison my trouble will just unravel
I'm North American, you know
Don't like to hear where I can't go
Free people will insist on the freedom to travel

[bridge]
I'm gonna drink the running mojito
And walk out on the malec0n
In one hand a monte cristo
And in the other an ice cream cone

[chorus]
I'm going down to cuba with my band
We're going to formulate a plan
Whereby we obtain that cultural delusion
If I told you once I told you thrice
It'll put a smile on your face to see a Chevrolet with a soviet transmission

[verse]
I bet the country cast a spell
And there are things I think of still
Like the beauty of that woman that spoke to me
In the hotel nacional

[verse]
I'm gonna book my flight today
I'm definitely on my way
Just hold my place and I'll get back in the race
And I'm back in the USA