My garden gets flooded when it rains heavily, can I ask the landowner to do something about it?

The fields behind my house slope towards the house and when it rains the water drains off into my garden. When it pours down, like it did in January, a stream forms across my garden and flows into my neighbour's garden. Can I ask the owner of the fields to take action to prevent this happening by improving the drainage, or it my responsibility to do something?