An infinitely ramified point measure is a random point measure that can be written as the terminal value of a branching random walk of any length. This is the equivalent, in branching processes theory, to the notion of infinitely divisible random variables for real-valued random variables. In this talk, we show a connexion between infinitely ramified point measures and branching Lévy processes, a continuous-time particle system on the real line, in which particles move according to independent Lévy processes, and give birth to children in a Poisson fashion.