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/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 22, 2011             /s/ James A. Bowen
     ------------------------     ----------------------------------------------
                                  James A. Bowen, Chairman of the Board,
                                  President and Chief Executive Officer
                                  (principal executive officer)


I, Mark R. Bradley, 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 22, 2011             /s/ Mark R. Bradley
     ------------------------     ----------------------------------------------
                                  Mark R. Bradley, Treasurer, Chief Financial
                                  Officer and Chief Accounting Officer
                                  (principal financial officer)