The summons notice was issued in connection with the case registered against Mani on his controversial speech that CPI-M had eliminated political rivals in the past.
Copies of the notice were pasted before Mani's house and the party office as those in his house and office refused to accept the notices, police said.
Meanwhile, CPI-M state secretary Pinarayi Vijayan took exception to the issuance of notice to Mani, saying it was against the law. The Home department had issued the notice without getting any proper legal advice, he told reporters at Kozhikode.
"The CPI-M will fight such attacks on the party politically and the police action against Mani legally," Vijayan said.
Police said Mani had been asked to appear on June 6 before the special investigation team (SIT) set up to inquire his `revelation,' which embarrassed the CPI-M and caught political circles in the state by surprise.
Police had earlier this week registered a case against Mani on charges of murder, abetment and concealing information based on his speech made at Thodupuzha last week.