**Exhibit31.2**

**CERTIFICATIONOF PRINCIPAL FINANCIAL OFFICER**

I,Sharon C. Kaiser, certify that:

1.                                      Ihave reviewed this quarterly report on Form 10-Q of  Cornerstone Core Properties REIT, Inc.;

2.                                      Basedon my knowledge, this quarterly report does not contain any untrue statement ofa material fact or omit to state a material fact necessary to make thestatements made, in light of the circumstances under which such statements weremade, not misleading with respect to the period covered by this quarterly report;and

3.                                      Basedon my knowledge, the financial statements, and other financial informationincluded in this quarterly report, fairly present in all material respects thefinancial condition, results of operations and cash flows of the registrant asof, and for, the periods presented in this quarterly report.

4.                                      Theregistrant’s other certifying officer and I are responsible for establishingand maintaining disclosure controls and procedures (as defined in Exchange ActRules 13a-15(e) and 15d-15(e)) for the registrant and we have:

(a)            designed suchdisclosure controls and procedures, or caused such disclosure controls andprocedures to be designed under our supervision, to ensure that materialinformation relating to the registrant, including its consolidated subsidiaries,is made known to us by others within those entities, particularly during theperiod in which this quarterly report is being prepared;

(b)           evaluated theeffectiveness of the registrant’s disclosure controls and procedures andpresented in this reported our conclusions about the effectiveness of thedisclosure controls and procedures, as of the period covered by this quarterlyreport based on such evaluation; and

(c)            disclosed in thisreport any change in the registrant’s internal control over financial reportingthat occurred during the registrant’s most recent fiscal quarter that hasmaterially affected, or is reasonably likely to materially affect, theregistrant’s internal control over financial reporting.

5.                                      Theregistrant’s other certifying officer and I have disclosed, based on our mostrecent evaluation of internal control over financial reporting, to theregistrant’s auditors and the audit committee of registrant’s board ofdirectors (or persons performing the equivalent function):

(a)            all significantdeficiencies and material weaknesses in the design or operation of internalcontrols over financial reporting which are reasonably likely to adverselyaffect the registrant’s ability to record, process, summarize and reportfinancial information; and

(b)           any fraud, whether ornot material, that involves management or other employees who have asignificant role in the registrant’s internal control over financial reporting.
|                              | /s/ SHARON C.  KAISER                                  |   |
|------------------------------|--------------------------------------------------------|--------|
| Date:  August  10, 2007 | Sharon C. Kaiser                                       |   |
|                         | Chief Financial  Officer (Principal Financial Officer) |   |
|                              |                                                        |        |  |

 

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