A blood pressure meter using a viscoelastic cuff, and a mobile terminal having the blood pressure meter. The blood pressure meter includes a blood pressure sensor for measuring variation in blood pressure, a blood flow sensor for measuring variation in blood flow, a cuff that elastically compresses a body part and decompresses the body part due to its viscoelasticity, and a control unit that analyzes signals measured by the blood pressure sensor and the blood flow sensor and calculates blood pressure. The blood pressure meter is detachably connected to a mobile terminal body, and can be small and portable. It is possible to measure the blood pressure precisely even when the cuff is fitted onto a finger, thereby improving the reliability of the blood pressure measurement. By using the viscoelasticity of the cuff and auxiliary decompressing, it is possible to check the blood pressure at all times.