For people who do not swear (& esp those who put forth specific efforts not to), it can be very disheartening to be around someone who does. Some people haven't learned how to express themselves without sprinkling their language with "colorful" words.
I wonder what the culture in the office is like for the rest of the employees? Does everyone have somewhat coarse language, but the boss just stands out because he is addressing people @ a meeting?
Hopefully, your husband will set a precedent by his lack of swearing when talking to people. If I were in his position, I would not bring it up specifically to his boss. From what you wrote, it is not being directed @ him personally, & obviously this has been the MO for quite some time preceding his employment.
However, if he has a one-on-one conversation with his boss & it occurs, that would be a time that he could say "Excuse me Larry, could you please not swear at me? I'm not comfortable with that." Any boss worth anything will apologize & respond appropriately.
If his boss says "why didn't you say so before?" your husband could point out that previously it had been at full staff meetings, & he didnt think it was appropriate to raise in front of other people.
One word of caution (because this is an area I struggle with A LOT). Your husband needs to make a conscious effort to also not swear @ the office. When you are around people who talk that way naturally, it can become a pattern of speech you yourself pick up.
I know a number of men from my church who work in "rough" industries, & they have taken the above approach & had it met with favorably. You can't get everyone to just stop swearing because you don't do so, or don't like it. But they have commented that people @ their job will consciously "curb" their language when they are around.
Best of luck to your husband in his new job!! T.