CrossCountry operates a train from Bournemouth to Bath hourly. Tickets cost $30 - $55 and the journey takes 28 min. Great Western Railway also services this route hourly. Alternatively, More Bus operates a bus from Bournemouth to Bath every 20 minutes. Tickets cost $12 and the journey takes 1 h 21 min. First also services this route hourly.
From Bournemouth train to Southampton Central then train to Bath Spa. 2 h 39 min £64. From Bournemouth Square bus to Salisbury, New Canal then bus to Bath City Centre, Bus Station. 4 h 32 min £12. From Bournemouth drive to Bath. 1 h 32 min £12.