Chief executive Dick Costolo described some of the recent comments he found as "horrifying", and vowed to introduce new measures to tackle so-called "hate speech".
The news follows reports of racist abuse directed towards members of the England football team following last weekend's Euro 2012 exit. Ashley Cole and Ashley Young were targeted after the defeat to Italy, prompting a police investigation.
Costolo went on to say that any action taken to curb such behaviour will not compromise freedom of speech on the social network.
"The reason we want to allow pseudonyms is there are lots of places in the world where it's the only way you'd be able to speak freely," he told the Financial Times.
"The flip side of that is it also emboldens these trolls... How do you make sure you are both emboldening people to speak politically but making it okay to be on the platform and not endure all this hate speech? It's very frustrating."
Earlier this week, Coronation Street star Shobna Gulati revealed that she was forced to quit Twitter over "violent, vitriolic" racist abuse.