The resonance fluorescence from regular atomic systems is shown to represent a continuous source of nonGaussian entangled radiation propagating in two different directions. For a single atom entanglement occurs under the same conditions as squeezing. For more atoms, the entanglement can be more robust against dephasing than squeezing, hence providing a useful continuous source for various applications of entangled radiation. PACS numbers: 42.50.Dv, 03.67.Bg, 32.50.+d, 03.65.Ud The resonance fluorescence of a single atom played an outstanding role when searching for a radiation source that clearly displays the quantum nature of light. A single twolevel atom, after being excited by a driving laser, can only emit a single photon at once and then it must be re-excited, before another photon can be emitted. This feature led to the prediction of the nonclassical effect of photon antibunching [1], which could first be demonstrated in the resonance fluorescence of an atomic beam [2] and later with a trapped ion [3].Sub-Poissonian photon statistics could also be observed for the first time in resonance fluorescence [4] and squeezing in resonance fluorescence was predicted [5]. Even the resonance fluorescence of many atoms can show squeezing, which requires stable phase relations between the emitters. This can be achieved by a regular arrangement of the atoms [6], or by detection of the fluorescence in the forward direction with respect to the pump beam [7]. Squeezing from strongly driven regular atomic systems has also been studied [8]. In an early experiment with regular atoms, the interference of the fluorescence of two trapped ions was demonstrated [9]. Squeezing in resonance fluorescence could be observed for samples of many atoms [10].A direct demonstration of squeezing in the resonance fluorescence of a single atom has not been realized yet. For this purpose it was proposed to apply homodyne correlation measurements [11]. The method has been further developed to detect general field correlation functions by balanced homodyne correlation techniques [12]. This opens possibilities to study the most general nonclassical features of the atomic resonance fluorescence radiation [13]. As an example, intensityfield correlation functions could be measured in resonance fluorescence [14], which is a first step in such a direction.In the context of applications for quantum information processing, among the manyfold of nonclassical effects entanglement became of particular importance, for recent reviews see [15,16]. A variety of possibilities to create entanglement in atoms, e.g. via cooperative fluorescence, has been studied, see [17] and references therein. A cold atom in a cavity can serve as a stable source for entangled EPR-type photons, * Electronic address: peter.gruenwald2@uni-rostock.de † Electronic address: werner.vogel@uni-rostock.de by utilizing the coupling between the scattered photons and the quantized atomic center-of-mass motion [18]. To our best knowledge, however, the resonance fluorescence radiation itself...