Mogilev is connected to Minsk, Gomel, Vitebsk, and eastern Belarus by rail and long-distance buses. Trains are usually the most comfortable option if the timetable works for you.
By road, the city sits on the main east-west routes toward the Russian border region. Check current border and travel conditions before planning any cross-border movement; domestic Belarus travel is much simpler than international overland travel in this part of Europe.