**EXHIBIT 31.01**

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**Rule 13a-14(a)/15d-14(a) Certifications**

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I, Paul Morton, ChiefExecutive Officer, President and Manager of Merrill Lynch AlternativeInvestments LLC, the manager of ML Appleton FuturesAccess LLC, certify that:

 

1. I have reviewed thisreport on Form 10-Q of ML Appleton FuturesAccess LLC;

 

2. Based on my knowledge,this report does not contain any untrue statement of a material fact or omit tostate a material fact necessary to make the statements made, in light of thecircumstances under which such statements were made, not misleading withrespect 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 ofoperations and cash flows of the registrant as of, and for, the periodspresented in this report;

 

4.The registrant’s othercertifying officer and I are responsible for establishing and maintainingdisclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e) and15d-15(e) and internal control over financial reporting (as defined inExchange Act Rules 13a-15(f) and 15d - 15(f)for the registrant andhave:

 

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 consolidatedsubsidiaries, is made known to us by others within those entities, particularlyduring the period in which this report is being prepared;

 

b) Designed such internalcontrol over financial reporting, or caused such internal control overfinancial reporting to be designed under our supervision, to providedreasonable assurance regarding the reliability of financial reporting and thepreparation of financial statements for external purposes in accordance withgenerally accepted accounting principles;

 

c) Evaluated theeffectiveness of the registrant’s disclosure controls and procedures and presentedin this report our conclusions about the effectiveness of the disclosurecontrols and procedures, as of the end of the period covered by this reportbased on such evaluation;

 

d) 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; and

 

5. The registrant's other certifying officer and I have disclosed,based on our most recent evaluation of internal control over financialreporting, to the registrant's auditors and the audit committee of registrant’sboard of directors (or persons performing the equivalent functions):

 

a) All significantdeficiencies and material weaknesses in the design or operation of internalcontrol over financial reporting which are reasonably likely to adverselyaffect the registrant's ability to record, process, summarize and report financialinformation; 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.

 
| Date:  May 14, 2008 | By                                         | /s/ Paul Morton |
|-------------------------------|-------------------------------------------------|-----------------|
|                          | Paul  Morton                                    |
|                          | Chief  Executive Officer, President and Manager |
|                          | (Principal  Executive Officer)                  |

 

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