Both Chelsea stars impressed in victory over Brazil.
Lampard said of Cole on chelseafc.com: "It's a fantastic achievement. He's been an unbelievably consistent performer both for club and country, and he started all of those games which makes it all the more incredible.
"The consistency levels he's shown, particularly when you consider Leighton Baines has been around for a while now, have been great.
"For me, he's been one of the best in the world, and to be the first full-back to reach 100 caps is brilliant."