The award comes after Spurs' 4-0 thrashing of Liverpool along with wins against Wigan Athletic and Wolverhampton Wanderers.
"It's always nice to win an award," Redknapp said. "We have had a good month and played some good football so I couldn't be more pleased.
"We have put in some great performances, especially against Liverpool as well as picking up two away wins against Wigan and Wolves and credit must go to all the players for that."
The 64-year-old, who has won the award seven times in his career, was last named manager of the month for Spurs in August 2009.