[3][2] He made his Divizia A debut under coach Constantin Teașcă on 25 August 1974, playing for Steaua in a derby against Dinamo București, which ended with a 2–0 loss, however his performance in the match was appreciated by journalist Eftimie Ionescu who gave him an 8 in the Sportul newspaper.

[3][4][5] Then Moraru was transferred from Sportul Studențesc to Dinamo București, where he played 31 league games in each of his first three seasons as the club won the title in all of them, working at the first with coach Valentin Stănescu and at the other two with Nicolae Dumitru.

[3][4][5][8] He made some notable performances with Dinamo in European competitions as helping it eliminate Inter Milan in the 1981–82 UEFA Cup and appearing in eight matches in the 1983–84 European Cup season, being the team's captain as the club eliminated title holders Hamburg in the campaign, reaching the semi-finals where the campaign ended in front of Liverpool.

[10] After eight seasons spent at Dinamo, Moraru alongside teammates Costel Orac and Alexandru Nicolae were transferred to Victoria București, but only for a short while, after which he went to play in Norway at IK Start where he ended his career in 1991 by playing a total of 41 league games over the course of two seasons, a career in which he made a total of 393 appearances in Divizia A and 33 in European competitions.

[3][4][11][12] Dumitru Moraru played 38 games for Romania, making his debut on 24 September 1975 under coach Valentin Stănescu in a 1–1 with Greece at the 1973–76 Balkan Cup.