The present invention relates to Transcription Activator-Like Effector (TALE) derived proteins that allow efficient targeting and/or processing of double stranded nucleic acid sequences. The proteins of the invention are typically chimeric protein monomers composed of a core scaffold comprising Repeat Variable Dipeptide regions (RVDs) having binding specificity to a DNA target sequence, to which is fused a catalytic domain to its N-terminus. This later catalytic domain, which can be a monomer of a nuclease, is placed at this position to possibly interact with another catalytic domain fused to another TAL monomer, such that, when the monomers are binding to their respective target DNA sequences, both catalytic domains form a catalytic entity likely to process DNA in the proximity of these target sequences. This new TAL architecture makes it possible to target only one DNA strand, which is not the case, for instance, with classical TALEN architectures. The present invention also relates to vectors encoding such proteins and compositions or kits in which Transcription Activator-Like Effector (TALE) proteins of the present invention are used.