The need for modern higher strength and higher performance concretes is rising rapidly, since engineers are seeking superior qualities for their intuitive constructions all over the world. This research study includes adopting different curing regimes to normal, high and ultra-high strength concretes; the curing regimes considered are traditional curing by submerging specimens in ambient room temperatures at 25 oC, accelerated thermal curing in either warm water at 50 oC or hot water at 75 oC, and finally microwave curing at intensities of 300, 500, and 800 Kilowatts for durations of 15 and 25 minutes. Mechanical strength assessment of compression, indirect tension and flexure will be performed on cubes, cylinders and prisms respectively. The test results showed that the concrete which contain cement plus silica-fume indicated that heating water curing could further increase the compressive strength of the concretes. The amount of strength gain was from 5 to 10 MPa by using warm water curing at 50 oC, and was from 10 to 20 MPa by using hot water curing at 75 oC, also the amount of strength gain was about 5 to 15 MPa by using 15 minutes microwave heating, and was from 10 to 20 MPa by using 25 minutes microwave heating.