EXHIBIT (b)

      Certification Pursuant to Rule 30a-2(b) under the 1940 Act and
                  Section 906 of the Sarbanes-Oxley Act

I, James A. Bowen, Chairman of the Board, President and Chief Executive
Officer of First Trust Exchange-Traded Fund II (the "Registrant"),
certify that:

1.       The Form N-CSR of the Registrant (the "Report") fully complies
         with the requirements of Section 13(a) or 15(d) of the Securities
         Exchange Act of 1934, as amended; and

2.       The information contained in the Report fairly presents, in all
         material respects, the financial condition and results of
         operations of the Registrant.


Date: May 27, 2010
      -------------------

                                     /s/ James A. Bowen
                                     ----------------------------------------
                                     James A. Bowen, Chairman of the Board,
                                     President and Chief Executive Officer
                                     (principal executive officer)



I, Mark R. Bradley, Treasurer, Controller, Chief Financial Officer and
Chief Accounting Officer of First Trust Exchange-Traded Fund II (the
"Registrant"), certify that:

1.       The Form N-CSR of the Registrant (the "Report") fully complies
         with the requirements of Section 13(a) or 15(d) of the Securities
         Exchange Act of 1934, as amended; and

2.       The information contained in the Report fairly presents, in all
         material respects, the financial condition and results of
         operations of the Registrant.


Date: May 27, 2010
      -------------------

                                     /s/ Mark R. Bradley
                                     ----------------------------------------
                                     Mark R. Bradley Treasurer, Controller,
                                     Chief Financial Officer and
                                     Chief Accounting Officer
                                     (principal financial officer)