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Exhibit 12.3

# CERTIFICATION OF THE
CHIEF FINANCIAL OFFICER
PURSUANT TO SECTION
302 OF THE SARBANES-OXLEY ACT OF 2002

I, Rinat Remler, certify
that:

|1. | I
have reviewed this annual report on Form 20-F of Elron Electronic           Industries
Ltd. (the 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 company as of,           and for,
the periods presented in this report;
|-- | ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

|4. | The
Companys other certifying officer(s) 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:
|-- | -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (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;
| | --- | ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (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 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
| | --- | --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (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
| | --- | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

|5. | The
Companys other certifying officer(s) 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 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
Companys ability to record, process, summarize and report financial information;
and
| | --- | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (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.
| | --- | -----------------------------------------------------------------------------------------------------------------------------------------------------------------------

|Date: December 2, 2009 |  | /s/ Rinat Remler
Rinat RemlerVice President and Chief Financial Officer (principal financial officer)
|---------------------- |  | -------------------------------------------------------------------------------------------------------------------



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