Robertson's comments during Monday's "700 Club" program followed a segment about radical Muslims in Europe.
"These people are crazed fanatics and I want to say it now; I believe it's motivated by demonic power, it is satanic and it's time we recognize what we're dealing with," watchdog group Americans United for Separation of Church and State quoted Robertson as saying.
"The goal of Islam ... is world domination," Robertson said.
Americans United said Robertson "seems determined to throw gasoline on the fire" of worldwide religious tensions, the Virginian Pilot reported.
"When will Robertson ever learn to think before he speaks?" said the group's the Rev. Barry Lynn.
Robertson drew criticism earlier for advocating the assassination of Venezuelan President Hugo Chavez and suggesting Israeli Prime Minister Ariel Sharon's stroke was God's retribution for pulling out of the Gaza Strip.
Just last month, though, Robertson told World magazine he would have a monitor on an earphone check his more incendiary remarks.