The Daily Mailexternal-link reports the unnamed player, who is of Asian heritage, said he was once urinated on by a team-mate.
It comes amid continued criticism of Yorkshire’s response to a report’s findings of “bullying and racial harassment” towards Azeem Rafiq.
Rana Naved-ul-Hasan became the second player to allege racism at Yorkshire.
On Friday, Yorkshire chairman Roger Hutton was one of several board members to resign over the club’s response to racism experienced by Rafiq, 30.
Hutton told BBC Sport there is no-one at the club he would “personally consider racist” but admitted their culture is “locked in the past”.
In the latest claims, the unnamed player said he faced “both blatant and sly” racist abuse at the club in the early 2000s.
In a statement seen by the Mail, the player said: “There are many Asian cricketers like myself who have had their careers ruined, but have moved on and taken the treatment on the chin. I salute them all, as it can’t have been easy.”
Also on Friday, Hanif Malik and Stephen Willis stepped down from the Yorkshire board following an emergency meeting later that day.
Lord Kamlesh Patel of Bradford has been appointed as a director and chair and says his aim is “taking this club forward and driving the change that is needed”.
Meanwhile, the BBC said former England captain Michael Vaughan would not appear on his BBC Radio 5 Live show on Monday after it was claimed he made a racist comment to a group of Asian players.
Vaughan was named in Yorkshire’s report into Rafiq’s claims of racism during his time at the club.
He “completely and categorically denies” the claims.
Equality and Human Rights Commission ask for report
The Equality and Human Rights Commission said on Friday it was looking into Yorkshire’s handling of the Rafiq case.
The organisation’s chief executive Marcial Boo said: “We have written to YCCC to ask for more information, including a full copy of their investigation report, to determine if there has been a breach of the law. We will take action if so.
“All employers have a duty to protect their employees from bullying and harassment.”