Form 6-K

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

Report of Foreign Private Issuer
Pursuant to Rules 13a-16 or 15d-16 of
the Securities Exchange Act of 1934

Dated: ~~May~~June 317, 2005

Swisscom AG

(Translation of registrant’s name into English)

Alte Tiefenaustrasse 6 3050 Bern, Switzerland (Address of principal executive offices)

(Address of principal executive offices)

Indicate by check mark whether the registrant files or will file annual reports under cover Form 20-F or Form 40-F.

Form 20-F þ Form 40-F o

Indicate by check mark if the registrant is submitting the Form 6-K in paper as permitted by Regulation S-T Rule 101(b)(1): o___

Indicate by check mark if the registrant is submitting the Form 6-K in paper as permitted by Regulation S-T Rule 101(b)(7): o___

Indicate by check mark whether the registrant by furnishing the information contained in this Form is also thereby furnishing the information to the Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.

Yes o No þ

If “Yes” is marked, indicate below the file number assigned to the registrant in connection with Rule 12g3-2(b): 82- _________

(SWISSCOM LOGO)

~~Swisscom~~Christoph ~~Mobile~~Brand ~~launches~~appointed ~~price~~new ~~offensive~~Chief ~~and~~Strategy ~~increases~~Officer ~~transparency~~of Swisscom

OnChristoph ~~1 June~~Brand, ~~2005,~~until ~~Swisscom~~now ~~Mobile~~Head isof toSwisscom ~~introduce~~Fixnet ~~significant~~Wholesale, ~~price~~has ~~cuts~~been tonamed ~~stimulate customers’~~by ~~calling~~the ~~habits.~~Swisscom Board ~~The~~of ~~company~~Directors ~~will~~as ~~be offering a~~ new ~~tariff~~Chief ~~based~~Strategy onOfficer ~~only~~of 50Swisscom ~~centimes~~and ~~per call,~~member ~~irrespective~~ of the ~~length~~Swisscom ~~of the call~~Executive Board. ~~This~~He ~~means~~succeeds ~~that~~Michael Shipton, ~~for~~whose ~~the~~appointment ~~first~~as ~~time,~~CEO ~~longer~~of ~~mobile calls~~Swisscom ~~will~~IT beServices ~~charged~~was announced on a12 ~~par with fixed-network rates~~May 2005. OnChristoph ~~top~~Brand ofwill ~~this,~~take ~~Swisscom~~up ~~Mobile~~his isnew ~~cutting prices~~position ~~for~~as ~~termination~~Head of ~~calls~~Business onDevelopment ~~its network to 20 centimes. This 40% reduction clears the way~~and ~~for~~Corporate ~~cheaper~~Strategy ~~calls~~on ~~between~~1 ~~networks~~August 2005.

~~The~~Christoph ~~price~~Brand ~~adjustments~~(lic. ~~were~~rer. ~~prompted~~pol.), bywho ~~the~~graduated ~~reticent~~in ~~calling~~business ~~habits~~economics, ofsociology ~~NATEL®~~and ~~customers as well as~~political ~~pressure~~science from ~~business~~the ~~customers~~University ~~objecting~~of ~~to high fixed-to-mobile charges. Last year~~Berne, ~~for instance,~~joined ~~average~~Swisscom ~~minutes~~in ~~per~~1995. ~~user~~Three ~~(AMPU~~years ~~Postpaid)~~later onhe ~~the~~was ~~NATEL® network dropped by 7.2 minutes to~~appointed ~~153.4~~CEO ~~minutes~~of aBluewin ~~month,~~and ~~while~~was ~~the~~largely ~~average~~instrumental ~~number~~in ofturning ~~minutes for calls from~~ the ~~fixed~~company ~~network~~into toSwitzerland’s ~~the~~largest ~~Swisscom~~Internet ~~Mobile network fell by 3%~~provider. ~~According~~Since ~~to surveys~~April 2002, the ~~main~~36-year-old ~~reason~~business ~~for~~economist ~~this~~has ~~drop~~been isHead ~~the general~~of ~~perception that mobile charges are too high and not sufficiently transparent.~~ Swisscom ~~Mobile~~Fixnet ~~has~~Wholesale, ~~introduced~~with ~~the~~responsibility ~~price~~for ~~cuts in a bid to address customers~~Swisscom’s ~~concerns,~~domestic and ~~expects~~international ~~these~~fixed-network ~~reductions~~infrastructure ~~to stimulate calling habits~~ and ~~boost~~a ~~growth~~workforce inof ~~the~~around ~~mobile market~~3,200.

~~Mobile~~Michael ~~calls~~Shipton, the incumbent Chief Strategy Officer and designated CEO of Swisscom IT Services Ltd, will take up his new appointment on 1 August. Urs Stahlberger, CEO of Swisscom IT Services, will carry out special tasks on behalf of Swisscom CEO Jens Alder until his retirement at ~~fixed-network~~the ~~rates~~end of 2005.

~~The new product that allows Swisscom Mobile customers to make calls of any length for a flat-rate charge is called NATEL® swiss liberty. Calls made to the Swisscom Mobile network~~Berne, ~~Swiss~~17 ~~fixed~~June 2005 ~~networks or the Combox on any weekday and at any time are charged at 50 centimes per call (up to~~ one hour, plus 50 centimes for every subsequent hour) rather than by the minute. In purely arithmetic terms, therefore, the charge for a one-hour call is less than one centime per minute. Calls made at any time to other Swiss mobile networks are charged at a standard rate of 50 centimes per minute, while all other services are charged as defined in other tariffs.

~~For~~Swisscom aAG ~~basic~~Group ~~monthly~~Media ~~charge~~Relations of3050 ~~CHF~~Bern ~~25,~~Phone ~~NATEL®~~Fax ~~customers~~+41-31-342 ~~can~~91 ~~therefore~~93 ~~enjoy~~+41-31-342 ~~maximum~~06 ~~cost transparency~~70 ~~and major cost savings~~www. ~~Based on current calling habits, the average NATEL® swiss customer can save 17% with the new tariff, the typical NATEL® international subscriber 23%, and the NATEL® pro customer as much as 33%~~swisscom.com Whether they are occasional or frequent callers, people who are prompted to use their mobile phones more frequently thanks to the highly advantageous NATEL® swiss liberty conditions, are certain to save additional cashmedia@swisscom. com

NATEL® swiss liberty is available from 1 June 2005. Existing customers can ask for a subscription check and switch to the new tariff free of charge. All NATEL® customers for whom a switch to the new tariff is considered worthwhile will be automatically contacted by Swisscom Mobile.

40% reduction in termination rates from 1 July, 2005

Swisscom Mobile AG Product Public Relations Carsten Roetz 3050 Bern Phone Fax +41-31-342 76 48 +41-31-342 87 94 www.Swisscom-mobile.ch carsten.roetz@swisscom.com

The second change concerns a reduction in the wholesale price for call termination on the NATEL® network from 33.5 centimes to 20 centimes per minute. These termination rates are the price that other telecoms providers have to pay for switching a call through to a mobile network. Over the past few months, a downward trend in calling habits has been identified, which the 40% price reduction is aiming to reverse. Adjusting for purchasing power, Swisscom Mobile rates are below the average charged in comparable European countries.

With this move, Swisscom Mobile is offering other providers the opportunity to pass on the reductions in termination rates to their customers, so that the Swiss population can benefit from significantly cheaper calls to the NATEL® network.

The negative impact on Swisscom Mobile revenue and EBITDA for the remainder of 2005 will amount to CHF 165 million at most. If other providers also cut their termination rate, this will reduce the impact. Although volumes are expected to increase as a result of these measures, this will not be enough to compensate for the price reduction in the short term.

Berne, 3 May, 2005

Swisscom Mobile AG Product Public Relations Carsten Roetz 3050 Bern Phone Fax +41-31-342 76 48 +41-31-342 87 94 www.Swisscom-mobile.ch carsten.roetz@swisscom.com

SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

	Swisscom AG
Dated: May 3, 2005	by:	/s/ Rolf Zaugg
Dated: June 17, 2005	by:	/s/ Rolf Zaugg
		Name:	Rolf Zaugg
		Title:	Senior Counsel Head of Capital Market & Corporate Law

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