A deep K _ { s } -band photometric catalogue of galaxies at the core of the rich , nearby Norma cluster ( ACO3627 ) is presented . The survey covers about 45 ′ \times 45 ′ ( slightly less than 1/3 Abell radius ) , which corresponds to \sim 0.8 h _ { 70 } ^ { -2 } Mpc ^ { 2 } at the adopted distance ( v _ { CMB } / H _ { 0 } ) of 70 h _ { 70 } ^ { -1 } Mpc of this cluster . The survey is estimated to be complete to a magnitude of M _ { K _ { s } } \mathrel { \hbox { \hbox to 0.0 pt { \hbox { \lower 4.0 pt \hbox { $ \sim$ } } } \hbox { % $ < $ } } } -19.5 mag . This extends into the dwarf regime , 6 magnitudes below M _ { K _ { s } } ^ { * } . The catalogue contains 390 objects , 235 of which are classified as likely or definite galaxies and 155 as candidate galaxies . The K _ { s } -band luminosity function ( LF ) is constructed from the photometric sample , using a spectroscopic subsample to correct for fore- and background contamination . We fit a Schechter function with a characteristic magnitude of M ^ { * } _ { K _ { s } } = -25.39 \pm 0.80 mag and faint-end slope of \alpha = -1.26 \pm 0.10 to the data . The shape of the LF is similar to those found in previous determinations of the cluster LF , in both optical and near infrared . The Schechter parameters agree well with those of recent field LFs , suggesting that both the shape of the bright end and the faint end slope are relatively insensitive to environment .