Pro-nilpotent Lie algebras are topological Lie algebras that are projective limits of nilpotent Lie algebras. A pro-nilpotent Lie algebra $\mathfrak g$ is of maximal class if $$ \sum_{i=1}^{+infty}(\dim{C^i {\mathfrak g}/C^{i+1} {\mathfrak g}}-1)=1. $$ One of important examples of pro-nilpotent Lie algebras of maximal class is the Landweber-Novikov algebra (tensored by reals) in complex cobordisms theory. We will discuss cohomology and deformations of graded pro-nilpotent Lie algebras of maximal class.