I don't know if the lyrics are correct, but it sounds good to me!!
I tried to make the translation rhyme so hopefully it works out. Enjoy!
Translated by NVVICIOUS
Kanashimi wa Yuki ni Nemuru
Sadness Sleeps in the Snowhitomi wo tojita ima mo kurayami de wa nai deshou
watashi no nukumori konya wa zutto soba ni
dokomade aiseba ii sore sae mienai mama
anata no yume tsunagu sono kakehashi ni natte
Even now when I have closed my eyes there isn't any darkness, right?
Only the warmth from my body stays with me all through the night
How long and far should my love go when the one I love I can't even see
I've become that golden bridge that binds and connects me to your dreams