There are many words that can be used as synonyms for "circulate a petition." Some alternatives include "campaign for signatures," "petition for support," "gather signatures," "promote a petition," "advocate for signatures," "distribute a petition," "solicit signatures," and "mobilize for a cause." Each of these phrases conveys the same idea of getting people to sign a petition in support of a particular cause or issue. When looking for synonyms for "circulate a petition," it's important to choose a phrase that accurately reflects the purpose and urgency of the effort to gain signatures.