Exhibit 12.(a).1



CERTIFICATION



I, David Wiessman, certifythat:



| | 1. | I have reviewed this Annual Report on Form 20-F of Alon Holdings
Blue Square -Israel Ltd.;
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| | 2. | Based on my knowledge, this report does not contain any untrue statement
of a material fact or omit to state a material fact necessary to make the statements made, in light of the circumstances under
which such statements were made, not misleading with respect to the period covered by this report;
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| | 3. | Based on my knowledge, the financial statements, and other financial
information included in this report, fairly present in all material respects the financial condition, results of operations and
cash flows of the Company as of, and for, the periods presented in this report;
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| | 4. | The Company’s other certifying officer and I are responsible
for establishing and maintaining disclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e) and 15d-15(e)
and internal control over financial reporting (as defined in Exchange Act Rules 13a-15(f) and 15d-15(f)) for the Company and
have:
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| | (a) | Designed such disclosure controls and procedures, or caused such
disclosure controls and procedures to be designed under our supervision, to ensure that material information relating to the Company,
including its consolidated subsidiaries, is made known to us by others within those entities, particularly during the period in
which this report is being prepared;
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| | (b) | Designed such internal control over financial reporting, or caused
such internal control over financial reporting to be designed under our supervision, to provide reasonable assurance regarding
the reliability of financial reporting and the preparation of financial statements for external purposes in accordance with generally
accepted accounting principles;
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| | (c) | Evaluated the effectiveness of the Company’s disclosure controls
and procedures and presented in this report our conclusions about the effectiveness of the disclosure controls and procedures,
as of the end of the period covered by this report based on such evaluation; and
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| | (d) | Disclosed in this report any change in the Company’s internal
control over financial reporting that occurred during the period covered by the annual report that has materially affected, or
is reasonably likely to materially affect, the Company’s internal control over financial reporting; and
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| | 5. | The Company’s other certifying officer and I have disclosed,
based on our most recent evaluation of internal control over financial reporting, to the Company’s auditors and the audit
committee of the Company’s board of directors (or persons performing the equivalent function):
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| | (a) | All significant deficiencies and material weaknesses in the design
or operation of internal control over financial reporting which are reasonably likely to adversely affect the Company’s ability
to record, process, summarize and report financial information; and
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| | (b) | Any fraud, whether or not material, that involves management or other
employees who have a significant role in the Company’s internal control over financial reporting.
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|By: | /s/ David Wiessman                                         | 
|--- | ---------------------------------------------------------- | 
|    | David Wiessman                                            
|    | Chief Executive Officer and Chief Operating Decision Maker



Date: April 29, 2013