Anthony, who died in 2001, won 43 titles and became the tour's first millionaire.
"Earl would have been thrilled, very honored," his wife, Susie, said. "If Earl were here, he would probably say he wasn't deserving. He wouldn't turn it down, but he'd be very humble."
Second place in the voting for the tour's top player went to Walter Ray Williams Jr. of Ocala, Fla., who has won 45 titles and still bowls on the tour.
"I feel Earl's record is better than mine because it was more condensed," Williams said. "Earl bowled 14 years and 400 or so events. I've bowled well over 600 by now, maybe 700."