We call it Rememberance Day too, but it is held on this day (in both the UK, US and other UK Commonwealth Countries) because it commemorates the armistice signed on 11th November 1918. In fact, it was only renamed in the US in 1954. Not quite sure why they bothered, but never mind. Veterans Day is exactly the same thing as Armistice Day (it's not just for those killed in WW1).

It's Veterans Day in the U.S.

Ah,you have that in England? For us it's rememberance day

They shall grow not old, as we that are left grow old,
Age shall not weary them, nor the years condemn.
At the going down of the sun and in the morning
We will remember them.
- from For the Fallen by Laurence Binyon.