Arriva UK operates a bus from Buckingham to Northampton hourly. Tickets cost $5 - $8 and the journey takes 21 min. 3 other operators also service this route.
How to get from Buckingham to Northampton
From Buckingham, Stratford Road (A413) bus to Milton Keynes Central then train to Northampton. 51 min £10. From Buckingham, Stratford Road (A413) bus to Central Railway Station then bus to North Gate Bus Station. 1 h 12 min £9. From Buckingham taxi to Northampton. 29 min £73. From Buckingham drive to Northampton. 29 min £4.