For clarification of the above:
The qualifying age was originally set at 60 throughout the whole of the UK because that was the age when a woman could claim her state pension (with a man being treated, for the purposes of obtaining a bus pass, as if he was a woman with the same birth date).
Under a separate (but linked) scheme, residents of London who were the same age could obtain a Freedom Pass, giving them free travel on London Underground services as well as on buses.
When the state pension age for women began to rise, the governments of Scotland, Wales and Northern Ireland decided to keep the qualifying age for a bus pass at 60. However the UK Government decided that the qualifying age for a bus pass in England should rise in line with that for a woman's state pension. (Since the Freedom Pass in London includes an English bus pass as part of its validity, the authorities in London have had no choice but to follow suit, even though they originally sought to hold the qualifying age at 60).
As I was born in April 1953 (and I live in England), I qualified for my bus pass at roughly 62½ years of age (because that's when a woman born on the same day as me qualified for her state pension). However the qualifying age has continued to rise and is now between 65 and 66 (because that's how old both men and women currently need to be to get their state pension).
Applications for bus passes are handled by county councils (or by metropolitan/unitary councils where relevant).
So, Cleoval, if you're in the UK but not in England, your husband is already eligible for his free bus pass. If you're in England though, he's still got quite a long wait ahead of him.