Hi welcome to the friendly forum!
Regarding your question, You want your marriage to be recognize in UK so Yes he need 1 original copy of Marriage Certificate (from NSO) and register your marriage at his local city hall.
I am also married to a british national and my husband asked me to request 3 copies of our marriage certificate. 1 for local city hall, 1 for his employment and 1 for us to have a copy and keep at home.
