There are several hiking trails in the Tasman Valley, about an 8km drive from Mount Cook Village.
These include the short Blue Lakes and Tasman Glacier View Walk (40 minutes), which offers views of the Blue Lakes and lower Tasman Glacier. An alternate route goes to Tasman Glacier Lake (50–60 minutes), which freezes over in winter and has icebergs floating in it during summer.
The longer Ball Shelter Hut Route (3–4 hours each way) follows the old Ball Hut Road alongside the massive Tasman Glacier. People used to stay in the hut overnight and walk back the following day, but this is no longer possible and you now need to complete the return trip on the same day.