In the early 1960s, Luketić began he exhibit some of his works at shows around Zagreb and Ljubljana, slowly gaining a reputation for himself. Then, in the mid-1960s, he spent several months in Milan, Italy where he was learning to master the craft of learning to work with stainless steel. Not only after returning from Milan, Luketić won his first major commission, which was for the creation of a massively ambitious 12x5m abstract stainless steel relief sculpture for one of the main halls of the Central Committee building of the League of Communists of Croatia (nicknamed 'Kockica'). With the success and praise from of this work, Luketić went on to win several subsequent competitions for the creation of NOB monuments during the 1970s & 80s, such as at Lepoglava and at Dotrščina Park in Zagreb. These memorial works were always metal and always were deep artistic examinations of shape, geometry, texture and light. Altogether during his long career, Luketić participated in over 100 tenders for various sculptural projects in Yugoslavia, of which he won and completed roughly half. It was also during this era of great productivity in the 1970s that Luketić first encountered his soon-to-be wife Eleonora, who he met when she came to apply for a job to work with him at his studio. They wed in 1977 and had their son Stefan in 1978.

While Luketić's career was going very well through the 70s, it was also during this time that he had one of his most dramatic tenders in participating in the competition for the Petrova Gora monument. It was here where he was competing head-to-head against his former protégé Vojin Bakić. Both Bakić's and Luketić's works were in the final three designs being considered for this massive project, but Luketić eventually lost out to the proposal by Bakić. Luketić continued making memorial works through the 1980s, while in the late 80s, he spent time working as a professor at the Faculty of Culture in Cetinje, Montenegro.

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As Yugoslavia was dismantled in the wars and conflicts of the 1990s, many NOB monuments were destroyed and among them a number by Luketić, such as those at Bučje and Pakrac. Notably, his work at Kukunjevac was destroyed, for which Luketić was particularly distraught. During the 1990s, Luketić continued to create sculptural works, but he no longer created monuments. In an article, his wife Eleonora relates that he continued to put on exhibitions of his work through the 90s, but she says they were often overlooked by the popular press. Some sources explain the cold approach towards Luketić in 1990s Croatia was a result of his Montenegrin heritage, his Partisan history and his lamenting the fall of the Yugoslav state. However, in 2002, a massive retrospective of Luketić's work was held at the Croatian Association of Artists (HDLU) in Zagreb, for which Luketić was overjoyed about. Just a few months after this exhibition at the HDLU, Luketić passed away in Zagreb at the age of 78. Luketić's wife Eleonora continues to live in Zagreb, while his son Stefan works in America as an astro-physicist.

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Luketić's original studio still exists at Vlaška 61 in Zagreb (which is interestingly just 300m from the studio used by sculptor Dušan Džamonja, which was also on Vlaška), but reports indicate that conflicts over ownership of the location are under debate between the city of Zagreb and his wife Eleonora.