On his first appearance of the 1994/1995 season Martha's Son faced the Rowland Meyrick Chase winner General Pershing and the Northumberland Gold Cup winner Clay County in a two-mile handicap chase at Haydock Park Racecourse on 2 November. He took the lead approaching the last fence and went clear on the run-in to win by eight lengths from Clay County, taking his winning run to five. Three weeks later Martha's Son was moved up in class to contest the Peterborough Chase at Huntingdon in which he was matched against the 1993 Champion Chaser Deep Sensation. Martha's Son led from the ninth fence until the final obstacle when he made a bad jumping error and was overtaken by Deep Sensation, but rallied on the run-in to regain the advantage and won by one and a quarter lengths. Moved up to two miles five furlongs on Boxing Day, Martha's Son won his seventh consecutive race when he won the Mid Season Chase at Wincanton. Martha's Son's first race of 1995 saw him carrying 149 pounds and starting at odds of 3/1 for the Grade 2 Victor Chandler Handicap Chase over two miles at Ascot Racecourse on 14 January. He was opposed by Viking Flagship, Storm Alert (twice winner of the United House Construction Chase), Deep Sensation, Uncle Ernie (Aintree Chase) and Coulton (Mersey Novices' Hurdle). Farrant restrained the gelding in the early stages before moving up to take the lead from Coulton at the second last and stayed on strongly on the run-in to win by two and a half lengths from Egypt Mill Prince. On 8 February Martha's Son attempted to extend his winning run to nine when he started favourite for the Grade 1 Comet Chase over two and a half miles at Ascot. His opponents again included Coulton and Deep Sensation as well as the Tripleprint Gold Cup winner Amtrak Express. He overtook Coulton at the third last and went clear to win "very easily" by seven lengths despite being eased down by Farrant in the closing stages. On his final appearance of the season Martha's Son contested the Melling Chase at Aintree Racecourse and started 11/10 favourite ahead of Viking Flagship, who had won his second Champion Chase at the Cheltenham Festival three weeks earlier. After taking the lead after the second last he was overtaken on the run-in and sustained his first defeat in seventeen months as he finished third, beaten a short head and a length by Viking Flagship and Deep Sensation.