A total of 334 Low Surface Brightness galaxies detected in the 2MASS all-sky near-infrared survey have been observed in the 21 cm H I line using the Nançay telescope. All have a K_s-band mean central surface brightness, measured within a 5'' radius, fainter than 18 mag arcsec^(-2) and a K_s-band isophotal radius at the 20 mag arcsec^(-2) level larger than 20''. We present global H I line parameters for the 171 clearly detected objects and the 23 marginal detections, as well as upper limits for the undetected objects. The 171 clear detections comprise 50 previously uncatalogued objects and 41 objects with a PGC entry only