
A ticket from the tourist commission, located off the roundabout 400 m south of the Northern Stelae Field, covers admission to all sights except the Church of St. Mary of Zion.
Either by plane (Ethiopian) or by bus.
Buses
Buses from Addis Ababa take a minimum of three days to make the journey via Dessie and Mekele. It is a very taxing bus ride over rough roads.
From Gondar, take the dawn bus to Shire and change there for Aksum -- you can usually get through in a day. To travel to Gondar, you must take an afternoon bus to Shire, spend the night there, and catch the dawn bus to Gondar. The road between Shire and Gondar is one of the most spectacular in Ethiopia.
From Debark and the Simien Mountains, there is only one bus heading north to Shire. That is the Gondar bus, and it is often full when it passes through Debark. You can either take your chances (it isn't always full!), or hire someone from Debark for about 150 birr to go into Gondar the day before and ride the Shire bus to Debark for you, guarenteeing you a seat. (Note that you must make arrangements the morning prior to the day you want to leave. If you are going trekking, you can make arrangements before you leave for your trek.) There are many buses travelling between Shire and Aksum. To travel to Debark, go to Shire in the afternoon, spend the night there, catch the Gondar bus the next morning, and get off at Debark. You will probably have to pay the full fare to Gondar (about 50 birr).
Easily on foot, everything is very close. For the lioness of gonedra and the judith stelae field, instead of hiring one of the ultra-expensive tourist minibuses, you can catch a minibus going in direction Shire (there are many early in the morning) and ask them to drop you at the lioness of gonedra turnoff and catch another one back. The lioness is not easy to find on your own but a group of children will soon appear who will guide you, and they should be compensated appropriately.