Midfielder Lampard was part of Mourinho's successful side between July 2004 and September 2007, when the Portuguese left in acrimony before achieving success at Inter Milan and Real Madrid, who he is expected to leave imminently.
Asked what makes Mourinho so successful, Lampard told TalkSPORT: "It's a presence and an aura and a way with people.
"He galvanises people. His own self-confidence reflects back on his teams. He did that to me personally.
"Tactically he's fantastic. He's very astute. As a team he sets you up brilliantly.
"But what he does is he gets the best out of players and gets this togetherness that I'd never known until he came to the club and I haven't seen it again since then.
"He might rub people up the wrong way. [But] as a manager, he's brilliant with his team, tactically, he's brilliant with individuals and I think he's brilliant with the press. I know it creates a storm, but he does protect his players."