Yes, Lovage is toxic to dogs!
Dogs accidentally consuming the Lovage plants can show the following clinical symptoms: Vomiting, Prolonged Depression, Incoordination, Hypersalivaton, Sleepiness Or Excitation, Dilated Pupils, Low Body Temperature, Low Blood Pressure, Coma, Seizure And Death (In Rare Cases).
Lovage consumption is also toxic to Cats and Horses.
Toxic Principles Of Lovage: Volatile oils, especially phthalide lactones..
More Info About The Lovage Plant
Scientific Name: Levisticum officinale
Family: Apiaceae.
Also known as: Maggi plant, Smellage.
The answer is based on information found on The American Society for the Prevention of Cruelty to Animals (ASPCA) website.