The figures for 2015-2018 come from NFU Mutal.
The rural insurer is launching a campaign urging dog owners to keep their pets under control.
Research reveals there are more and more reports of attacks being caused by dogs which have been let out in gardens, escaping and attacking sheep in nearby fields.
The South West is the worst affected region in England by cost.
Majority of Devon MPs back assisted dying bill
Just three of Devon's 13 MPs voted against the bill
Crime panel member calls for commissioner to resign
It's in the wake of the suspension of acting Chief Constable Jim Colwell
City footballers take time out to spread some festive cheer
Exeter stars bring joy to children in hospital
Calls for more control over spending
Many projects coming in over budget
Election cycle change thrown out in Plymouth
Annual elections will still be held in the city
