We show that every generalised 2-local derivation on a semi-finite von Neumann algebra is a derivation. We also prove that if \(\delta \) is a norm-continuous 2-bilocal derivation on a von Neumann algebra \({\mathcal {M}}\) with no direct summand of type \(\hbox {I}_{2}\) with the property that \(\delta (p+i\mu q)=\delta (p)+i\mu \delta (q)\) for every pair of projections \(p,q\in {\mathcal {M}}\) and \(\mu \in {\mathbb {R}}\) , then \(\delta \) is a derivation.
