The Serbian, an F51 athlete, set the mark of 26.88 with his very first throw of the competition, picking up 1010 points, and he could even afford to pass his final three attempts as no one challenged his supremacy.
Czech athlete Radim Beles was second with 26.67 (1004) and Algeria's Lahouari Bahlaz, in the F32 class, third with 36.31m (1003).
Dimitrijevic said: 'It's a lot of hard work to be a Paralympic champion.'
Denmark's Jackie Christiansen won gold in the Shot Put - F42/44 thanks to a final-round effort of 18.16m (1012). He finished ahead of Croatian silver medallist Darko Kralj, who threw 14.21m (987), while Great Britain's Aled Davies was third with 13.78 (961).
In the Long Jump, Russian Margarita Goncharova triumphed in the F37/38 competition with a leap of 4.84m (1009). Ukraine's Inna Stryzhak was second with 4.79m (1004) and China's Cao Yuanhang third with 4.40m (993).
In the women’s Discus - F35/36, Wu Qing of China was awarded the gold medal following a review of results, with Mariia Pomazan of Ukraine taking silver and Katherine Proudfoot of Australia the bronze.
Elsewhere, Britain's Hannah Cockroft smashed the Paralympic record in the first round of the women's 100m - T34. The wheelchair athlete won by over two seconds in 18.24, taking almost one-and-a-half seconds off the eight-year-old record, to emphasise her status as gold medal favourite for tonight's final.