Hi pari,
As your birth certificate is not Canadian, you might want to have a look at the reciprocity tables for your country of birth.
This is a list from the Dept. of State of which documents from each country are acceptable, just choose your country of birth from the drop down list, it will then display the page for your birth country - click on the "Jump to Country documents" link at the top of the page.
Reprocity Tables, Department of StateWhat you need is the official Goverment document.