From Almaty by train either through Astana or through Semipalatinsk Semei. Through Astana, trains run everyday and through Semipalatinsk every other day.
From Astana either by evening train or several buses a day.
From Omsk Russia by train or bus.
Flights on Air Astana are available from Astana and Almaty and on S7 from Moscow.
Long-distance and regional buses are available from most surrounding cities.