Elastography is a new method which is innovating its use in obstetrics. Elastography has been employed in different fields as a complement of the bidimensional sonography and has been widely studied. However, guidelines for the employement of elastography of the uterine cervix are not available at present. The limitations consist in that there is not a reference of the normel tissue, and of the pathological elasticity of the preterm labor delivery, and besides it is necessary in some types of elastographies an external force which is dependant operator for which the performance of elastographies with cut waves or quantitatives seems to be the most promising method for the evaluation of the elasticity of the cervix. The present utility, current status and future challenges are well docummented in the article. The diagnostic accuracy of cervical elastography in predicting labor induction success is reviewed. The wave elastography of placenta for in vivo quantation of placental elasticity is also considered.