Hello, may I know the route from Mutianyu Great wall to Nanshan ski resort suitable?

Take bus no.H36 from Mutianyu Roundabout to Yujiayuan. Then transfer to take bus no.H52 to Miyun Xidaqiao and take bus no.Jiao 80 to Tanzhoujiayuan. After arriving, take bus no.Mi13 to Ski Resort directly.

Thanks for the reply.Compared nanshan ski resort with Huaibei international Ski resort, which one more convenient and more nearer to mutianyu?

The map shows that Huaibei International Ski Resort is much rearer than Nanshan.
About the transportation from Mutianyu Roundabout, you can take bus no.H24 to Yujiayuan. Then transfer to bus no.H58 to Huairou Zhaoshangju and bus no.868 to Miyunguxi. After that, take bus Mi13 Branch Line to the destination.
To be honest, the public transportation is not that convenient. You are advised to hire a private car to there directly. Generally speaking, it costs around CNY 200.

Thanks alot your info and advise.public transport as you mentioned is not very frequent?

Yes, in addition, there are many transfers when taking public transportation. And I'm afraid that it won't be easy to find these bus stops. Thus in order to save time and for your convenience, hiring a car directly is an much easier way. :)