Mouktar did not make his racecourse debut until late October 1984 when he won a maiden race over 1800 metres at Longchamp Racecourse against nine opponents. In November he was moved up in class to contest the Group two Criterium de Saint-Cloud over 2000 metres. Mouktar started the odds-on favourite in field of fourteen runners. He took the lead in the straight and drew clear of the field to win by six lengths from Hello Bill.
1985: three-year-old season
In April 1985, Mouktar made his first appearance of the season in the Prix Greffulhe over 2000 metres at Longchamp. Racing on very soft ground, he started the 1/5 favourite and won easily from French School. In May Mouktar started the 3/10 favourite for the Prix Hocquart over 2400 metres. Racing on much faster ground he led from the start and was never seriously challenged, winning comfortably from Premier Role. On 9 June, Mouktar started the 1/5 favourite for the Prix du Jockey Club over 2400 metres at Chantilly Racecourse. He took the lead from the pacemaker Gottardo at half distance and won by two and a half lengths from Air de Cour. Timeform described the race as "dull and uninteresting", pointing out that many of the best French-trained colts, including Baillamont and Sumayr had bypassed the event in favour of the Prix Jean Prat and the Grand Prix de Paris. Commenting of the ease of Mouktar's win, Saint-Martin called the winner "an exceptional horse who has never been under pressure in his life". Three weeks after his win at Chantilly, Mouktar was sent to the Curragh to contest the Irish Derby against a field which included Law Society, Triptych, Damister and Baillamont. Mouktar was accompanied by his regular traveling companion, a pony which helped to soothe his nervous disposition. He started the 9/4 second favourite but after taking the lead early in the straight he faded in the last two furlongs and finished seventh of the thirteen runners behind Law Society. In September, Mouktar ran in the Prix Niel at Longchamp, and won by a nose from Saint Estephe to whom he was conceding two pounds. He was entered in the Prix de l'Arc de Triomphe but was withdrawn from the race and retired.
Assessment
In the official International Classification for 1984, Mouktar was the highest-rated two-year-old trained in France, four pounds below the British colt Kala Dancer. The independent Timeform organisation rated him at 124p, the "p" indicating that he was likely to make significant improvement. As a three-year-old, Mouktar was given a Timeform rating of 129, seven pounds behind the top-rated Slip Anchor. In the International Classification he was the top-rated three-year-old trained in France and the seventh highest-rated horse in Europe behind Slip Anchor, Petoski, Rainbow Quest, Sagace, Pebbles and Shadeed.