Marak received the extortion call on her mobile phone last night demanding that the money be paid to the caller, failing which he would kidnap her children.
The caller identified himself as a member of a terrorist group from Guwahati, Marak told reporters.
Marak, who is also Meghalaya Congress Committee working president, said she did not take the call initially as she could not identify the number. However, as the man kept on calling, she called back.
She said the caller did not say where the money was to be paid. When she tried to contact him again, the caller's phone was switched off.