The Reds maintained their pace at the top of the division with wins over Aston Villa (2-1), Manchester City (3-1), Crystal Palace (2-1) and Brighton and Hove Albion (2-1).
That form was enough to earn Klopp the award ahead of Nuno Espirito Santo (Wolverhampton Wanderers), Brendan Rodgers (Leicester City) and Chris Wilder (Sheffield United).
The Liverpool boss was also named Manager of the Month in August and September, and has now collected the prize on six occasions since joining the club.