Glaesser posted a time of 2:07:17, just edging out Cuba's Marlies Mejias to win the gold.
Glaesser's gold medal is her fourth medal of the games. The 2012 Olympic bronze-medallist won a gold in the women's team pursuit in cycling track, a silver in the women's omnium, and a silver in the road cycling time trial.
The 23-year old, who was born in Germany, but resides in Vancouver, was a part of the team pursuit track cycling medal in London.
Beveridge posted a time of 2:07:51, beating out Cuba's Arlenis Sierra just at the line to take home bronze. The 22-year-old was also a member of the track cycling team pursuit gold team with Glaesser.