Decide how you want to travel. Alaska does not hibernate in winter. Tourists are few, but there are plenty of residents to keep things interesting and help you get where you want to go. Reserve your airfare as early as possible, as this is the best way to get to Alaska in the winter. There are a few boats, but cruise ships do not operate here in winter. Fairbanks and Anchorage of the most popular cities to fly into.
Consider the train. The Cross-Alaska Railroad is a real adventure. You can fly into Anchorage any time of year, and start your train adventure there. The trip through Denali National Park is a very popular one, and there are many more trips available, through the vast countryside. You could also fly into Fairbanks and take the train south, to Anchorage.
Book a tour. There are many agencies that offer tours through the winter. This is the most convenient method, though the cost is higher. There is dog sledding, snowmobiling and other winter-type activities. On a tour, the agency takes care of transportation, and the other fine details, if you so desire.
Book a private flight after you arrive in Alaska. Small planes are the most popular transportation method for people who live in Alaska, and flights on small planes, or helicopters are readily available. Flight-seeing tours are very popular, and many groups offer these services. For instance, you could take a flight from Anchorage to the North Pole in one afternoon.