The strategy guide actually has the whole song in both dragon tongue and English so the whole song is indeed translated.
Note: This is exactly how it is in the strategy guide so it reads differently that how it is sung.
(Chorus)
Dovahkiin, Dovahkiin, naal ok zin los vahriin,
Wah dein vokul mahfaeraak ahst vaal!
Ahrk fin norok paal graan fod nust hon zindro zaan,
Dovahkiin, fah hin kogaan mu draal!
Dragonborn, Dragonborn, by his honor is sworn,
To keep evil forever at bay!
And the fiercest foes rout when they hear triumph's shout,
Dragonborn, for your blessing we pray!
Huzrah nu, kul do od, wah aan bok lingrah vod,
Ahrk fin tey, boziik fun, do fin gein!
Wo lost fron wah ney dov, ahrk fin reyliik do jul,
Voth aan suleyk wah ronit faal kein!
Hearken now, sons of snow, to and age, long ago,
And the tale, boldly told, of the one!
Who was kin to both wyrm, and the races of man,
With a power to rival the sun!
Ahrk fin zul, rok drey kod, nau tol morokei frod,
Rul lot Taazokaan motaad voth kein!
Sahrot Thu'um, med aan tuz, vey zeim hokoron pah,
Ol fin Dovahkiin komeyt ok rein
And the voice, he did wield, on that glorious field,
When the great Tamriel shuddered with war!
Mighty Thu'um, like a blade, cut through enemies all,
As the Dragonborn issued his roar!
(Chorus)
Dovahkiin, Dovahkiin, naal ok zin los vahriin,
Wah dein vokul mahfaeraak ahst vaal!
Ahrk fin norok paal graan fod nust hon zindro zaan,
Dovahkiin, fah hin kogaan mu draal!
Dragonborn, Dragonborn, by his honor is sworn,
To keep evil forever at bay!
And the fiercest foes rout when they hear triumph's shout,
Dragonborn, for your blessing we pray!
Ahrk fin Kel lost prodah, do ved viing ko fin krah,
Tol fod zeymah win kein meyz fundein!
Alduin, feyn do jun, kruziik vokun staadnau,
Voth aan bahlok wah diivon fin lein!
And the Scrolls have foretold, of black wings in the cold
That when brothers wage war come unfurled!
Alduin, Bane of kings, ancient shadow unbound,
With a hunger to swallow the world!
Nuz aan sul, fent alok, fod fin vul dovah nok
Fen kos nahlot mahfaeraak ahrk ruz!
Paaz Keizaal fen kos stin nol bein Alduin jot,
Dovahkiin kos fin saviik do muz!
But a day, shall arise, when the dark dragon's lies,
Will be silenced forever and then!
Fair Skyrim will be free from foul Alduin's maw,
Dragonborn be the savior of men!
(Chorus)
Dovahkiin, Dovahkiin, naal ok zin los vahriin,
Wah dein vokul mahfaeraak ahst vaal!
Ahrk fin norok paal graan fod nust hon zindro zaan,
Dovahkiin, fah hin kogaan mu draal!
Dragonborn, Dragonborn, by his honor is sworn,
To keep evil forever at bay!
And the fiercest foes rout when they hear triumph's shout,
Dragonborn, for your blessing we pray!
Yes this took me a while to write and there's probably somewhere online with it already xD.
If this isn't on the Imperial Library I could put it up if someone wants or someone could copy - paste it.