Lifetimes of some excited nuclear levels in the subnanosecond region are determined from delayed coincidence measurements. The measured values of half-life pertain to the nuclear levels: 161 keV of {sup 133}Cs (180{plus minus}10 psec), 343 keV of {sup 175}Lu (281{plus minus}10 psec), 113 keV of {sup 177}Hf (583{plus minus}6 psec), 896 keV of {sup 168}Er ({le}120 psec), 724 and 757 keV of {sup 95}Nb ({le}70 psec each). Measurements on the 896 ({sup 168}Er), 724 and 757 keV ({sup 95}Nb) levels have not been reported earlier. The magnetic moment of the 113 keV level of {sup 177}Hf has been recalculated using the measured lifetime and a new value of {mu}(9/2{sup {minus}})=(0.91{plus minus}0.02){mu}{sub {ital N}} is found which is in better agreement with the value predicted from theoretical considerations.