**EXHIBIT 31.01**

** **

**RULE13a-14(a)/15d-14(a) CERTIFICATIONS**

** **

I, Paul Morton, ChiefExecutive Officer, President and Manager of Merrill Lynch AlternativeInvestments LLC, the manager of ML Trend-Following Futures Fund, L.P. certifythat:

 

1.   I have reviewed this report on Form 10-Kof ML Trend-Following Futures Fund L.P.;

 

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, thefinancial 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 such disclosure controls and procedures, or caused such disclosurecontrols and procedures to be designed under our supervision, to ensure thatmaterial information 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 internal control over financial reporting,or caused such internal control over financial reporting to be designed underour supervision, to provide reasonable assurance regarding the reliability offinancial reporting and the preparation of financial statements for externalpurposes in accordance with generally accepted accounting principles;

* *

*c)Evaluated the effectiveness of the registrant’s disclosure controls and proceduresand presented in this report our conclusions about the effectiveness of thedisclosure controls and procedures, as of the end of the period covered by thisreport based on such evaluation; and*

* *

*d)Disclosed in this report any change in the registrant’s internal control overfinancial reporting that occurred during the registrant’s most recent fiscalquarter (the registrant’s fourth fiscal quarter in the case of an annualreport) that has materially affected, or is reasonably likely to materially affect,the registrant’s internal control over financial reporting; and*

* *

5.   The registrant’s othercertifying officer and I have disclosed, based on our most recent evaluation ofinternal control over financial reporting, to the registrant’s auditors and theaudit committee of registrant’s board of directors (or persons performing theequivalent functions):

 

*a) Allsignificant deficiencies and material weaknesses in the design or operation ofinternal control over financial reporting which are reasonably likely toadversely affect the registrant’s ability to record, process, summarize andreport financial information; and*

 

b) Any fraud,whether or not material, that involves management or other employees who have asignificant role in the registrant’s internal control over financial reporting.

 
| Date: March 31, 2008                       |            |       |
|-------------------------------------------------|-----------------|------------|
|                                            |            |       |
| By                                              | /s/ PAUL MORTON |       |   |
| Paul Morton                                     |            |       |
| Chief Executive  Officer, President and Manager |            |       |
| **(Principal Executive Officer)**               | ** **      | ** ** |
|                                                 |                 |            |  |

 

----