This invention relates to a gripping device (10), e.g. a surgical retrieval device. The device includes an inversible tubular member (28), which is composed of interengaged stitches of resiliently flexible filamentary material and which is progressively transformable between an everted condition and an inverted condition. The device includes also actuation means (12,20) carrying the inversible tubular member and operable for effecting progressive inversion and eversion of the inversible tubular member. Through progressive inversion of the inversible tubular member, an object can be gripped thereby.