One of the most exciting moment in pregnancy is when you feel first little flutters of your baby kicking. You should feel your baby's; first movments called "quickening " between 16 to 25 weeks of pregnancy. If this is your first pregnancy you may feel your baby movements closer to 25 weeks. By second and third trimesters the movements should be more distinct and u'll be able to feel your baby's kicks, jabs and elbows.