The Gunners won four Premier League games consecutively in March, scoring nine goals and conceding two.
The French international Giroud scored five times, with a brace at Newcastle adding to goals against Everton, QPR and West Ham in the English Premier League.
The Arsenal boss had earlier won the award 13 times, while this will make it the 14th time of winning the same award in 19 years at Arsenal.
The Gunners are third in the Premier League table with eight matches remaining.
They are seven points behind Chelsea, who is leading with a game in hand and Manchester City who is just a point ahead.
Arsenal’s remaining games also include a home match against Chelsea on April 26 and a trip to fourth-placed Manchester United on May 17.
Fifth-placed Liverpool travel to the Emirates on Saturday.
Although, based on current form, the Gunners seem likely winners against Liverpool on Saturday, Arsene Wenger is not taking chances especially as the international break could have affected the momentum. He just wants to keep on winning!
“It’s a big game and an opportunity for us to continue our run, which is what we want to do,” Wenger said. “We are on a strong run and we just want to focus on winning our games, winning the next one. Liverpool is a big opponent but we play at the Emirates and we want to do it.
“You know after the international break it’s always important that you come back and straight away you are on it.”
Liverpool Manager, Brendan Rodgers, is also confident he can get a result at the Emirates after a disappointing home loss to Manchester United.
“It’s a game we will want to get something from,” he said.
“In terms of the objectives going into the game, it’s no different to what it was before Manchester United. But of course we had a disappointing result and performance last time out.
“We really want to make sure we perform and give ourselves a chance to get a positive result.”