By train
There are regular direct services from Busan, Daegu and Gwangju. Passengers heading from Seoul can either take a KTX high-speed service to Daegu and transfer to the local train, or a muhgunghwa semi-fast train direct from Seoul's Cheongnyangni train. Andong's train station is located right in the city centre and most hotels can be reached within 5 minutes walk. The station has English-speaking staff, self-service ticket machines, a Global ATM and a tourist information centre.
By bus
Andong is quite easily accessible on the Inter-city bus network. Bear in mind that it's usually best to pre-book your ticket or at least try to confirm departure times online.
From East Seoul TerminalLocated out the front of Kangbyeon station subway no.2-green lineThe buses go every 10~15 minutes to Andong and it takes 2 hours, 40 minutes.
From Kangnam Seoul Express TerminalLocated in Kangnam Express Bus Terminal-stationsubway no.3 and no.7-orange&olive greenIt's easier to find the terminal by getting into the Sinsegye Department Store and going via the FENDI & GUCCI store 1F because the way between those stores is connected by the terminal.The buses go every 40~60 minutes to Andong and it takes 2 hours, 50 minutes.
From DaejeonAndong lies due East of Daejeon, thus across the grain of Korea's train network. As such, buses are about your only realistic transport option short of hiring a car. Departs from Dong-gu Express Bus Terminal, on the far East side of town down near HomePlus and Han-nam University. Buy your ticket at the Intercity Bus counter on the right facing the counter, or left as you walk in. Cost is 14,100 won one-way, and the bus is never full. Expect a rather long stopover at Gumi to get out, stretch your legs, and twiddle your thumbs aimlessly, after which the bus will depart again from another platform.The buses go about every hour and the full trip takes roughly 2 hours 10 minutes. Daejeon's bus timetable website is an indecipherable mess, so just show up with fingers crossed.
From Andong back to anywhereLast bus leaves around 8:00 pm. To some cities, its around 6:00 pm. Be sure to confirm the times: Andong actually has a very good timetable website but its not web indexed, sigh. If aiming to be back by a certain time, consider that the listed times can and DO vary wildly according to traffic, in particular Sunday evenings are a nightmare.