**EXHIBIT 31.1****CERTIFICATION**I, John C. Malone, certify that:1. I have reviewed this annual report on Form 10-K/A of Discovery Holding Company;2. Based on my knowledge, this annual report does not contain any untrue statement of a materialfact or 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 annual report;3. Based on my knowledge, the financial statements and other financial information included in thisannual report fairly present in all material respects the financial condition, results ofoperations and cash flows of the registrant as of, and for, the periods presented in this annualreport;4. The registrant’s other certifying officers 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 registrant and we have:     a) designed such disclosure controls and procedures, or caused such disclosure controls andprocedures to be designed under our supervision, to ensure that material information relating tothe registrant, including its consolidated subsidiaries, is made known to us by others within thoseentities, particularly during the period in which this annual report is being prepared;     b) designed such internal control over financial reporting, or caused such internal controlover financial reporting to be designed under our supervision, to provide reasonable assuranceregarding the reliability of financial reporting and the preparation of financial statements forexternal purposes in accordance with generally accepted accounting principles;     c) evaluated the effectiveness of the registrant’s disclosure controls and procedures andpresented in this annual report our conclusions about the effectiveness of the disclosure controlsand procedures as of the end of the period covered by this annual report based on such evaluation;and     d) disclosed in this annual report any change in the registrant’s internal control overfinancial reporting that occurred during the registrant’s most recent fiscal quarter (theregistrant’s fourth fiscal quarter in the case of an annual report) that has materially affected,or is reasonably likely to materially affect, the registrant’s internal control over financialreporting; and5. The registrant’s other certifying officers and I have disclosed, based on our most recentevaluation of internal control over financial reporting, to the registrant’s auditors and the auditcommittee of the registrant’s board of directors (or persons performing the equivalent function):     a) all significant deficiencies and material weaknesses in the design or operation ofinternal control over financial reporting which are reasonably likely to adversely affect theregistrant’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 asignificant role in the registrant’s internal control over financial reporting.Date: April 29, 2008   /s/ John C. Malone  John C. MaloneChief Executive Officer