From your Consultation Dashboard, go to 1. Edit Consultation Details
Scroll down to the Owner section. From the drop-down menu you can select a new User (the tick shows the current owner):
The number of options available to you will depend on your User role - read more about different User roles and permissions.
A note of caution - if you are a Site Administrator, you will be able to move the consultation to a User in a different Department, which will change the URL of the consultation. It also means that any analysts will be unassigned from the consultation. We would strongly recommend against doing this once a consultation is published.
How do I move a consultation to another department?