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We present redshifts for a sample of 229 clusters selected from the APMGalaxy Survey, 189 of which are new redshift determinations. Non-cluster galaxyredshifts have been rejected from this sample using a likelihood ratio testbased on the projected and apparent magnitude distributions of the clusterfields. We test this technique using cluster fields in which redshifts havebeen measured for more than 10 galaxies. Our redshift sample is nearly completeand has been used in previous papers to study the three dimensionaldistribution of rich clusters of galaxies. 157 of the clusters in our sampleare listed in the Abell catalogue or supplement, and the remainder are newcluster identifications.Comment: 15 pages UUencoded compressed postscript. Submitted to Monthly  Notices of the R.A.

The APM Galaxy Survey - IV. Redshifts of rich clusters of galaxies