**Exhibit 12.1****CERTIFICATIONS**     I, Svein Rennemo, certify that:     1. I have reviewed this annual report on Form 20-F of Petroleum Geo-Services ASA;     2. Based on my knowledge, this report does not contain any untrue statement of a material factor omit to state a material fact necessary to make the statements made, in light of thecircumstances under which such statements were made, not misleading with respect to the periodcovered by this report;     3. Based on my knowledge, the financial statements, and other financial information includedin this report, fairly present in all material respects the financial condition, results ofoperations 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 andmaintaining disclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e) and15d-15(e)) and internal control over financial reporting (as defined in Exchange Act Rules13a-15(f) and 15d-15(f)) for the company and have:          (a) Designed such disclosure controls and procedures, or caused such disclosurecontrols and procedures to be designed under our supervision, to ensure that materialinformation relating to the company, including its consolidated subsidiaries, is made knownto us by others within those entities, particularly during the period in which this reportis being prepared;          (b) Designed such internal control over financial reporting, or caused such internalcontrol over financial reporting to be designed under our supervision, to providereasonable assurance regarding the reliability of financial reporting and the preparationof financial statements for external purposes in accordance with generally acceptedaccounting principles;          (c) Evaluated the effectiveness of the company’s disclosure controls and proceduresand presented in this report our conclusions about the effectiveness of the disclosurecontrols and procedures, as of the end of the period covered by this report based on suchevaluation; and          (d) Disclosed in this report any change in the company’s internal control overfinancial reporting that occurred during the period covered by the annual report that hasmaterially affected, or is reasonably likely to materially affect, the company’s internalcontrol over financial reporting; and     5. The company’s other certifying officer(s) and I have disclosed, based on our most recentevaluation of internal control over financial reporting, to the company’s auditors and the auditcommittee 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 ofinternal control over financial reporting which are reasonably likely to adversely affectthe company’s ability to record, process, summarize and report financial information; and          (b) Any fraud, whether or not material, that involves management or other employeeswho have a significant role in the company’s internal control over financial reporting.Date:May 16, 2007         By:  */s/ Svein Rennemo*    Svein Rennemo    President and Chief Executive Officer