EXHIBIT 13

CERTIFICATION

Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002
(Subsections (a) and (b) of Section 1350, Chapter 63 of Title 18, United States Code)

Pursuant to section 906 of the Sarbanes-Oxley Act of 2002 (subsections (a) and (b) of section 1350, chapter 63 of title 18, United States Code), the undersigned officer of Swisscom AG, a Swiss company (the “Company”), hereby certifies, to such officer’s knowledge, that:

The Annual Report on Form 20-F for the year ended December 31, 2005 (the “Report”) of the Company fully complies with the requirements of section 13(a) or 15(d), as applicable, of the Securities Exchange Act of 1934 and that the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date: April 21, 2006

/s/ Carsten Schloter  

Carsten Schloter 

Chief Executive Officer 

CERTIFICATION

Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002
(Subsections (a) and (b) of Section 1350, Chapter 63 of Title 18, United States Code)

Pursuant to section 906 of the Sarbanes-Oxley Act of 2002 (subsections (a) and (b) of section 1350, chapter 63 of title 18, United States Code), the undersigned officer of Swisscom AG, a Swiss company (the “Company”), hereby certifies, to such officer’s knowledge, that:

The Annual Report on Form 20-F for the year ended December 31, 2005 (the “Report”) of the Company fully complies with the requirements of section 13(a) or 15(d), as applicable, of the Securities Exchange Act of 1934 and that the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date: April 21, 2006

/s/ Mario Rossi  

Mario Rossi 

Chief Financial Officer