Exhibit 31.1
 RULE 13a-14(a) CERTIFICATION OF THE
CHIEF EXECUTIVE OFFICER
  1.
    
    I have reviewed this Annual Report on Form 10-K for the fiscal year ended January 1,
2011 of Nash-Finch Company;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;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 registrant as of, and for, the periods
presented in this report;4.
    
    The registrant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 registrant and have:
 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 registrant, 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;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;c)
    
    Evaluated the effectiveness of the registrant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; andd)
    
    Disclosed in this report any change in the registrants internal control over
financial reporting that occurred during the registrants most recent fiscal quarter
(the registrants fourth fiscal quarter in the case of an annual report) that has
materially affected, or is reasonably likely to materially affect, the registrants
internal control over financial reporting; and
 5.
    
    The registrants other certifying officer and I have disclosed, based on our most
recent evaluation of internal control over financial reporting, to the registrants
auditors and the audit committee of registrants board of directors (or persons performing
the equivalent functions):
 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 registrants ability to record, process, summarize and report
financial information; andb)
    
    Any fraud, whether or not material, that involves management or other
employees who have a significant role in the registrants internal control over
financial reporting.
 Date: March 3, 2011
    
    by:
    
    /s/ Alec C. CovingtonName: Alec C. CovingtonTitle: President and Chief Executive Officer