SC 13G

	
	    	         UNITED STATES 	
        
	         SECURITIES AND EXCHANGE COMMISSION
	
		      WASHINGTON, D.C. 20549	   	   

			  SCHEDULE 13G

	  UNDER THE SECURITIES EXCHANGE ACT OF 1934	

			(AMENDMENT NO. )


		    SHAW COMMUNICATIONS INCORPORATED
	--------------------------------------------------------
     	               (NAME OF ISSUER)

		        CLASS B SHARES
	--------------------------------------------------------
		 (TITLE OF CLASS OF SECURITIES)

   		          82028K200
	--------------------------------------------------------
		       (CUSIP NUMBER)

	                December 31,2004
	--------------------------------------------------------
	(Date of Event Which Requires Filing of this Statement)

Check the appropriate box to designate the rule pursuant to which this Schedule
is filed:

		[X]	Rule 13d-1 (b)
		[ ]	Rule 13d-1 (c)
		[ ]	Rule 13d-1 (d)

* The reminder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities,
and for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act
(however, see the Notes).


			   SCHEDULE 13G

CUSIP No. 82028K200

1	NAMES OF REPORTING PERSONS. I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS
	(entities only)

		JARISLOWSKY, FRASER LIMITED

2	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP      (a)  [ ]
					(see instructions)    (b)  [ ]

3	SEC USE ONLY

4	CITIZENSHIP OR PLACE OF ORGANIZATION

		CANADA

	NUMBER OF SHARES	5	SOLE VOTING POWER  
 
	BENEFICIALLY			    14,129,833
	
	OWNED BY EACH		6	SHARED VOTING POWER

	REPORTING			     2,551,470

	PERSON WITH		7	SOLE DISPOSITIVE POWER

					    16,681,303	
									
				8	SHARED DISPOSITIVE POWER

						0

9	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

		16,681,303

10	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9)		   [ ]
	EXCLUDES CERTAIN SHARES (See Instructions)

11	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

		7.61%

12	TYPE OF REPORTING PERSON (See Instructions)

		IA



			   SCHEDULE 13G

This statement on Schedule 13G (this "Statement") is being filed by 
Jarislowsky, Fraser Limited ("JFL") and relates to the Class B Shares
(the "Class B Stock") of Shaw Communications Inc. (the "Issuer").  JFL
is a registered investment adviser and has discretionary authority with 
respect to the investments of, and acts as agent for, its clients.  The
Class B Stock reported in this Statement as beneficially owned by JFL as
of December 31, 2004 is held in JFL's client accounts and the filing of 
this Statement shall not be construed as an admission that JFL (or any of
its prinicpals) is, for purposes of Section 13 of the Exchange Act, the
beneficial owner of such securities.

ITEM 1(A).	NAME OF ISSUER:

			Shaw Communications Inc.

ITEM 1(B).	ADDRESS OF ISSUER'S PRINICPAL OFFICES:

			630 - 3rd Avenue S.W.
			Suite 900
			Calgary, AB
			T2P 4L4
			Canada

ITEM 2(A).	NAME OF PERSON FILING:

			Jarislowsky, Fraser Limited

ITEM 2(B).	ADDRESS OF PRINCIPAL BUSINESS OFFICE OR, IF NONE, RESIDENCE:

			1010 Sherbrooke St. West
			Suite 2005
			Montreal, Quebec
			H3A 2R7
			Canada

ITEM 2(C).	CITIZENSHIP:

			Canada

ITEM 2(D).	TITLE OF CLASS OF SECURITIES:

			Class B Shares

ITEM 2(E).	CUSIP NUMBER:

			82028K200

ITEM 3.		THIS SATEMENT IS BEING FILED PURSUANT TO RULE 13(d)-1(b)
		BECAUSE THE REPORTING PERSON FILING IS AS FOLLOWS:

		(a)	[ ]  Broker or dealer registered under section 15 
			     of the Act (15 U.S.C. 78o).

		(b)	[ ]  Bank as defined in section 3(a)(6) of the Act
			     (15 U.S.C. 78c).

		(c)	[ ]  Insurance company as defined in section 3(a)(19)
			     of the Act (15 U.S.C. 78c).

		(d)	[ ]  Investment company registered under section 8 of
			     the Investment Company Act of 1940 (15 U.S.C. 80a-8).

		(e)	[X]  An investment adviser in accordance with
			     ss.240.13d-1(b)(1)(ii)(E).

		(f)	[ ]  An employee benefit plan or endowment fund in
			     accordance with ss.240.13d-1(b)(1)(ii)(F).

		(g)	[ ]  A parent holding company or control person in
			     accordance with ss.240.13d-1(b)(1)(ii)(G).
		
		(h)	[ ]  A savings associations as defined in Section 3(b)
                             of the Federal Deposit Insurance Act 
			     (12 U.S.C. 1813).

		(i)	[ ]  A church plan that is excluded from the definition
			     of an investment company under section 3(c)(14) of
			     the Investment Company Act of 1940 (15 U.S.C. 80a-3).

		(j)	[ ]  Group, in accordance with ss.240.13d-1(b)(1)(ii)(J).

		If this statment is filed pursuant toss.240.13d-1(c), check this 
box [ ]. 	

ITEM 4. 	OWNERSHIP:
			PROVIDE THE FOLLOWING INFORMATION REGARDING THE AGGREGATE
			NUMBER AND PERCENTAGE OF THE CLASS OF SECURITIES OF THE
			ISSUER IDENTIFIED IN ITEM 1.

		(a)	Amount beneficially owned:  16,681,303

		(b)	Percent of class:  7.61%

		(c)  	Number of shares as to which the person has:

			(i)    Sole power to vote or to direct the vote:
			     
			       14,129,833

			(ii)   Shared power to vote or to direct the vote:

			       2,551,470

			(iii)  Sole power to dispose or to direct
	                       the disposition of:

			       16,681,303

			(iv)   Shared power to dispose or to direct
		               the dispostion of:

			          0
		
		NOTE:	As at January 31, 2005:

		(a)	Amount beneficially owned:  16,832,815

		(b)	Percent of class:  7.68%

		(c)  	Number of shares as to which the person has:

			(i)    Sole power to vote or to direct the vote:
			     
			       14,284,845

			(ii)   Shared power to vote or to direct the vote:

			       2,547,970

			(iii)  Sole power to dispose or to direct
	                       the disposition of:

			       16,832,815

			(iv)   Shared power to dispose or to direct
		               the dispostion of:

			          0

ITEM 5.		OWNERSHIP OF FIVE PERCENT OR LESS OF A CLASS

		Not applicable.


ITEM 6.		OWNERSHIP OF MORE THAN FIVE PERCENT ON BEHALF OF ANOTHER PERSON

		Clients of JFL have the right to receive or the power to direct
		the receipt of dividends from, or the proceeds from sale of, 
		the Common Stock reported as beneficially owned by JFL.  No
		client of JFL beneficially owns more than five percent of
		Issuer's Common Stock.


ITEM 7.		IDENTIFICATION AND CLASSIFICATION OF THE SUBSIDIARY WHICH
		ACQUIRED THE SECURITY BEING REPORTED ON BY THE PARENT HOLDING
		COMPANY

		Not applicable.

ITEM 8.		IDENTIFICATION AND CLASSIFICATION OF MEMBERS OF THE GROUP

		Not applicable.

ITEM 9.  	NOTICE OF DISSOLUTION OF GROUP

		Not applicable.

ITEM 10.	CERTIFICATION

		By signing below I certify that, to the best of my knowledge
		and belief, the securities referred to above were acquired
		and are held in the ordinary course of business and were not
		acquired and are not held for the purpose of or with the effect
		of changing or influencing the control of the issuer of the
		securities and were not acquired and are not held in connection
		with or as a participant in any transaction having that purpose
		or effect.

		After reasonable inquiry and to the best of my knowledge and
		belief, I certify that the information set forth in this 
		statement is true, complete and correct.

					Dated February 11, 2005



					Jarislowsky, Fraser Limited




					
					BY: /s/ Erin P. O'Brien
					  ---------------------------------

					Name:  Erin P. O'Brien
					Title: Compliance Officer & Partner