The annual Tax-Free Savings Account (TFSA) contribution limit is a single contribution limit for an individual. If you set up multiple TFSAs, you cannot contribute more than your annual contribution limit to all of them combined.
The maximum annual contribution limit for 2017 is $5,500. For example, if you have four TFSA accounts and you would like to equally contribute to them, you can contribute $1,375 to each of them to max out your 2017 contributions.
If you have not contributed the maximum in past years, or have made withdrawals in previous years, you may have additional contribution room available. Generally, your TFSA contribution room is made up of: the TFSA dollar limit for the year, any unused TFSA contribution room from the previous years, and any withdrawals made from the TFSA in the previous year. You can check your contribution room through the Canada Revenue Agency’s My Account service.
You can also learn more about contribution rules through the CRA website.