Disclosed herein is a pet leash assembly having a weighted hand grip. The hand grip has a first end and a second end. A leash is operationally connected to the first end. A container is coupled to the second end which is opposite the first end. The leash assembly may optionally include a second container, and a removable cover portion may be reversibly coupled to the containers for closing the containers. The weighted hand grip is configured so that, when in use, the weighted material is disposed in the palm of a user. Also disclosed is a kit comprising the components of a pet leash assembly.