James revealed the discriminatory messages on his Instagram account on Friday.
The incident comes a few days after Manchester United pair Anthony Martial and Axel Tuanzebe received similar messages on social media following the Red Devils’ shock 2-1 home loss to bottom side Sheffield United in the Premier League on Wednesday.
Like United, Chelsea have come out to condemn these actions and have called on social media companies to do more in clamping down on the menace.
"Everyone at Chelsea FC is disgusted with the racist abuse Reece James received on social media on Friday evening. This club finds racism and all forms of discriminatory behaviour completely unacceptable. We totally condemn it," the club said.
"In sport, as in wider society, we must create a social media environment where hateful and discriminatory actions are as unacceptable online as they would be on the street.
"We add our voice to those urging social media platforms and regulatory authorities to take stronger, more effective and more urgent action against this despicable behaviour.
"Something needs to change and it needs to change now."
James has made 18 appearances for Chelsea in all competitions this season but was not involved in Thomas Tuchel’s first game in charge of the Blues against Wolverhampton Wanderers on Wednesday.
