We examine the gravitational redshift of radiation emitted from within the
potential of a cluster. Spectral lines from the intracluster medium (ICM) a
re redshifted in proportion to the emission-weighted mean potential along t
he line of sight, amounting to approximate to 50 km s(-1) at a radius of 10
0 kpc h(-1), for a cluster dispersion of 1200 km s(-1) We show that the rel
ative redshifts of different ionization states of metals in the ICM provide
a unique probe of the three-dimensional matter distribution. An examinatio
n of the reported peculiar velocities of cD galaxies in well-studied Abell
clusters reveals that they are typically redshifted by an average of simila
r to 200 km s(-1). This can be achieved by gravity with the addition of a s
teep central potential associated with the cD galaxy. Note that, in general
, gravitational redshifts cause a small overestimate of the recessional vel
ocities of clusters by an average of similar to 20 km s(-1).