The defender was subjected to racist comments on Twitter after his 87th-minute own-goal that handed Sheffield United a point from a 2-2 draw at Stamford Bridge.
It comes less than three weeks after Tammy Abraham, who scored twice against the Blades on Saturday, was abused after he missed a penalty in the Super Cup shoot-out defeat to Liverpool.
Lampard, who staunchly criticised his club’s fans in the wake of Abraham’s abuse, says the guilty parties have to be held accountable.
“I am probably going over the ground I did with Tammy before,” he said. “Firstly it is a person that does it, wherever they are hiding from, and secondly we have to look at social media and the platforms and give them some accountability to actually have people register who can be chased down for it.
“I think it is simple, until we get to that, and no matter how horrible that conversation is, we get tired talking about it.
“Until there is some culpability, anyone can say anything to anyone. It’s not just racism, it could be calling them names, homophobia, sexism, it could be anything.
“If we allow it, then unfortunately in modern society it is out there and it has to be dealt with.”
Lampard confirmed that Chelsea intend to meet with some of the social media platforms to help try and stamp the abuse out.
“I think we have plans to do that,” he added. “Everyone knows with how I speak and the way the club act consistently where we want to go with it. Any player, we are clear about that.”