Yechury said this after leading a march to the BJP headquarters here, countering the latter's two-week long Janraksha Yatra, or people's protection rally, in Kerala, which concludes today.
"We warn the BJP that if they continue to create violence in Kerala they will not see even one MLA elected from the state," he said, addressing party workers in front of the BJP office.
The Left party's march was in protest against alleged acts of violence by the RSS-BJP in Kerala, while the BJP's rallies highlighted what it described as violence by the Left.
"The BJP-RSS is trying to build up their political and social base through violence and terror," he claimed.
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The CPI(M) leader took a dig at BJP president Amit Shah, saying that he "ran away from Kerala and came back to Delhi as he had to save his son who is been accused of corruption".
He was referring to a recent report in news portal The Wire which said a firm owned by Shah's son Jay Shah saw a huge rise in its turnover after the BJP came to power in 2014, a charge the BJP rejected as "false, derogatory and defamatory".
"If the BJP thinks it can remove the red flag from the country, then they are mistaken, as the flag has removed fascist forces from the world," he said.
Earlier the Left party leader had said its workers were capable of giving a "suitable answer" if saffron outfits did not stop political violence.