on each(either) side of the street/ road/ river (一般只有两个边的）
比较：
on every side of the playground/ sqaure/...(有两个以上的边的）
另：
on every side 在…各个方向,到处； 周围
词典例句
1.There was a lot of people on every side.
到处都是人.
来自《简明英汉词典》
2.There was devastation on every side.
到处都是破坏的创伤.
来自《简明英汉词典》