The bucket bag can be carried as a cross body, or as a pail (which means by hand).  

Bear in mind, the definition of bucket applies here and if you want to carry the bag on one shoulder, then perhaps you need to make the straps a little longer.

This type of bag is not new at all.  It first came to fashion in the 1900's, from a pouch with a string and a hardened bottom.  However, this bag style is still largely accredited to Coach, who first launched a collection of bucket bags in 1963.  These bags became popular because of the easy-going nature of the bag.  You can just throw things in and go. By 1967 all the major accessory houses had versions of the bucket bag.