CERTIFICATION PURSUANT TO RULE 30A-2(B) UNDER THE 1940 ACT AND SECTION 906
                           OF THE SARBANES-OXLEY ACT

I, Mark R. Bradley, Chairman of the Board, President and Chief Executive Officer
of First Trust/Aberdeen Global Opportunity Income Fund (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: August 21, 2014                   /s/ Mark R. Bradley
     ----------------------             ----------------------------------------
                                        Mark R. Bradley, President and
                                        Chief Executive Officer
                                        (principal executive officer)


I, James M. Dykas, Treasurer, Chief Financial Officer and Chief Accounting
Officer of First Trust/Aberdeen Global Opportunity Income Fund (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: August 21, 2014                   /s/ James M. Dykas
     ----------------------             ----------------------------------------
                                        James M. Dykas, Treasurer,
                                        Chief Financial Officer and
                                        Chief Accounting Officer
                                        (principal financial officer)