Posting on her Twitter page, church pastor Fred Phelps' daughter Margie lashed out at the late actress for her lifelong support of gay rights and activism for HIV/AIDS research and education.
"No RIP Elizabeth Taylor who spent her life in adultery and enabling proud f*gs," she wrote.
"They cuss her in hell today. #Westboro will picket funeral!"
Taylor died early Wednesday morning from congestive heart failure at the age of 79. Details of her funeral have not yet been announced.
Westboro has a long-running history of protesting events which they perceive to be promoting gay interests, most recently picketing the premiere of Kevin Smith's Red State and this year's Golden Globes ceremony. Last year, Lady Gaga encouraged her fans to pray for the protesters after they picketed one of her concerts.
> Obituary: Elizabeth Taylor
> In Video: Elizabeth Taylor's movie roles
> Elizabeth Taylor on Hollywood, sex and marriage
> In Pictures: Elizabeth Taylor on screen
> Elizabeth Taylor: A Life In Pictures
> Elizabeth Taylor: Her life on TV