We present results of measurements of K±p elastic scattering at 3.55 GeV/c in the c.m. angular ranges from 10° to 70° (0.16 < -t < 2 (GeV/c)2) and from 100° to 170° (3.4 < -t < 5.5 (GeV/c)2). These results complement previously published data from this group [1] which covered the angular region near 180°. Forward K-p elastic scattering has a structure near t = -1 (GeV/c)2, whilst the forward K+p angular distribution is smooth. A backward peak is observed in the K+p angular distribution, whilst the K-p differential cross section decreases towards 180°. © 1969.