The following communities are of particular note within the park: Madonna di Campiglio, Ponte de Ligno, Folgarida-Marilleva, and Andalo-Molveno. Madonna di Campiglio is a tiny mountain town that hosts international ski and snowboard events on the biggest resort in the range. Not only does it have runs that connect to the other mountains in the area, but the town also serves as the starting route for the via ferrata through the Brenta Dolomites. To clarify, a via ferrata is a steel cable-guided route through some spectacular elevations and viewpoints in the Brenta Dolomites, a range that includes three peaks over 3,000 meters high. Such a route, which is long enough to include a handful of different mountain lodges for overnight stay, requires minimal climbing gear and is a great way for amateur, but well-conditioned climbers to get some practice in an incredible environment.
The Ponte de Ligno is a smaller resort near the border with Switzerland; located in a mountain pass, it primarily serves snowbirds that aren't looking for big challenges. Folgarida-Marilleva and Pinzolo are both resorts close to Madonna di Campiglio, all of which are connected by lifts; you'll find all levels of skiing and snowboarding here. Lastly, Andalo-Molveno is located in the extreme eastern portion of the park, just north of the Lago di Molveno. Mountain biking, paragliding, hiking, and (of course) skiing/snowboarding are big out here. Fai della Paganella is another town nearby that has ample skiing opportunities.
For further information on activities to do in this area, check out the included websites.