An acoustic-propagation-time measuring apparatus includes an acoustic transmitting and receiving section having an acoustic element capable of transmitting and receiving acoustic waves, an A/D converter which converts an echo signal reflected from a target object to be measured into a digital signal, an inverse-analysis section that converts the digital echo signal into an impulse signal through inverse analysis where the digital echo signal is multiplied by an inverse matrix, a calculating section that measures an acoustic propagation time and a time difference based on the digital echo signal converted to the impulse signal, and a display section which displays the acoustic propagation time and time difference calculated by the calculating section.