Exhibit 99.1
News release via Canada NewsWire, Toronto 416-863-9350

	    Attention Business Editors:
	    Lorus Therapeutics Files Final Prospectus for Rights Offering to
	    Shareholders

	    TORONTO, June 27 /CNW/ - Lorus Therapeutics Inc. (TSX: LOR, AMEX: LRP)
("Lorus" or the "Corporation"), a biopharmaceutical company specializing in
the research and development of pharmaceutical products and technologies for
the management of cancer, today announced that it has received a receipt for a
final short form prospectus in relation to the previously announced filing of
a preliminary prospectus in each of the provinces of Canada in connection with
a distribution to its shareholders in eligible jurisdictions outside the
United States of rights exercisable for units of the Corporation (the "Rights
Offering").
	    Under the Rights Offering, holders of common shares of the Corporation as
of July 9, 2008 (the "Record Date") will receive one right for each common
share held as of the Record Date. Each four (4) rights will entitle the holder
thereof to purchase a unit of the Corporation ("Unit"). Each Unit consists of
one common share of the Corporation and a one-half warrant to purchase
additional common shares of the Corporation until 2010. Rights may be
exercised until 5:00 P.M. on August 7, 2008 ("Expiry Date").
	    The subscription price of $0.13 per Unit represents a discount of 7% to
the weighted average closing price of the Corporation's shares for the five
trading days immediately prior to filing of the final prospectus. If all of
the rights are exercised, the Corporation will issue an aggregate of
54.4 million common shares for gross proceeds of approximately $7 million. An
additional 27.2 million common shares could be issued if all warrants are
exercised. The Corporation expects to use the net proceeds from the offering
to fund research and development activities and for general working capital
purposes.
	    Each full warrant is exercisable for the purchase of one common share at
a price of $0.18 for a period of up to 24 months from the Expiry Date.
	    Rights will commence trading on the TSX on July 7, 2008 under the symbol
"LOR.RT" and the common shares will commence trading on the TSX and AMEX
immediately following the Expiry Date. Trading of the Rights will continue
until noon (Toronto time) on the Expiry Date.
	    The final prospectus will be mailed to all shareholders, and certificates
representing the Rights (the "Certificates") will be mailed to all registered
shareholders located in each of the provinces of Canada and Germany
(collectively the "Eligible Jurisdictions") following the Record Date. Subject
to certain exceptions, Certificates will not be mailed to registered
shareholders located outside of the Eligible Jurisdictions. Such shareholders
will not be permitted to exercise their Rights and in certain cases the rights
agent engaged by the Company will attempt to sell such Rights on behalf of the
relevant class of shareholders. Shareholders should consult the final
prospectus and their financial advisors to determine their rights and
entitlements under the Rights Offering.
	    Holders of rights who fully exercise their rights under the basic
subscription privilege will be entitled to subscribe pro rata for additional
Units, if available, that were not subscribed for initially on or before the
Expiry Date.
	    Registered shareholders wishing to exercise their rights must forward
their completed Certificate along with the applicable funds to Computershare
Investor Services Inc. by the Expiry Date. Beneficial shareholders should
contact their broker. Shareholders requiring additional information may refer
to a copy of the final short form prospectus available on SEDAR at
www.sedar.com.

	    Information for United States Shareholders

	    This news release does not constitute an offer to sell or the
solicitation of an offer to buy and of these securities in the United States.
Securities may not be offered or sold in the United States absent registration
under the United States Securities Act of 1933, as amended, and applicable
state securities laws, or an available exemption from such registration
requirements.
	    This Rights offering is not being made to shareholders in the United
States or who are U.S. residents. Rights may not be exercised by persons in
the United States or who are U.S. residents. Rights held or acquired by
residents of the United States may be transferred only in transaction outside
of the United States in accordance with Regulation S under the United States
Securities Act of 1933, as amended.

	    Forward Looking Statements

	    This press release contains forward-looking statements within the meaning
of Canadian and U.S. securities laws. Such statements include, but are not
limited to, statements relating to: financings and corporate reorganizations,
the establishment of corporate alliances, the Company's plans, objectives,
expectations and intentions and other statements including words such as
"continue", "expect", "intend", "will", "should", "would", "may", and other
similar expressions. Such statements reflect our current views with respect to
future events and are subject to risks and uncertainties and are necessarily
based upon a number of estimates and assumptions that, while considered
reasonable by us are inherently subject to significant business, economic,
competitive, political and social uncertainties and contingencies. Many
factors could cause our actual results, performance or achievements to be
materially different from any future results, performance or achievements
described in this press release. Such expressed or implied forward looking
statements could include, among others: the amount of capital raised by the
Rights Offering; our ability to receive all approvals necessary to complete
the Rights Offering; use of proceeds of the Rights Offering; the inherent
risks in early stage drug development including demonstrating efficacy;
development time/cost and the regulatory approval process; the progress of our
clinical trials; our ability to find and enter into agreements with potential
partners; our ability to attract and retain key personnel; changing market
conditions; and other risks detailed from time-to-time in our ongoing
quarterly filings, annual information forms, annual reports and annual filings
with Canadian securities regulators and the United States Securities and
Exchange Commission.
	    Should one or more of these risks or uncertainties materialize, or should
the assumptions set out in the section entitled "Risk Factors" in our filings
with Canadian securities regulators and the United States Securities and
Exchange Commission underlying those forward-looking statements prove
incorrect, actual results may vary materially from those described herein.
These forward-looking statements are made as of the date of this press release
and we do not intend, and do not assume any obligation, to update these
forward-looking statements, except as required by law. We cannot assure you
that such statements will prove to be accurate as actual results and future
events could differ materially from those anticipated in such statements.
Investors are cautioned that forward-looking statements are not guarantees of
future performance and accordingly investors are cautioned not to put undue
reliance on forward-looking statements due to the inherent uncertainty
therein.
	    Lorus Therapeutics Inc.'s recent press releases are available through its
website at www.lorusthera.com. For Lorus' regulatory filings on SEDAR, please
go to www.Sedar.com. For SEDAR filings prior to July 10, 2007 you will find
these under the company profile for Global Summit Real Estate Inc. (Old
Lorus).

	    %SEDAR: 00025614EF          %CIK: 0000882361

	    /For further information: Lorus Therapeutics Inc., Elizabeth Williams,
Director of Finance, (416) 798-1200 ext. 372, ir(at)lorusthera.com/
	    (LOR. LRP)

CO:  Lorus Therapeutics Inc.

CNW 15:39e 27-JUN-08