OoOohhhh, I had just this situation with my SO. Take heart, there is hope.

Great suggestions above for learn to ski packages and/or romantic mountain (ie: learn to ski) getaway. Do you/have you ever participated in/learned a new activity that "he" enjoys, because it was important to him? Relationships are a give and take. Maybe if you have, you could gently remind him of this. I'm not saying that someone should do something they are absolutely opposed to just to humor their partner....but sometimes people just need to be reminded.
My tactics were to badger my SO (for 2 years) to "please try just once or twice and I you truely hate it, I'll never ask you to do it again"
In my situation, it really wasn't that he was opposed to skiing....he was afraid....not that most men will admit that. He really had this idea that skiing was just about bombing down the mountain at mach speed....trying to get from top to bottom in one piece as fast as you could. It took a whole lot of convincing that he could learn (fairly quickly) how to control his speed, direction of decent, and stop whenever he wanted as long as he stayed on a skill appropriate slope. He FINALLY agreed to this....BUT would not take any lessons....macho guy mentality....soooooo I taught him the basics. Fortunately that turned out better than expected. I am only maybe an advanced intermediate skiier myself and probably have no business teaching anyone anything, but the end result is now he skies....and really enjoys it. He goes everywhere I go....sometimes faster.

Bottom line is he is a wonderfully caring and selfless partner who saw how important skiing is to me, and understood how much I wanted him to share in my passion. He only did it to make me happy but in the end found a past time that he looks forward to participating in. I am so blessed
Sooo, don't give up on it....keep "nudging". You will probably be suprised.

Good Luck!!