A method of making a lithographic printing plate comprising the steps of: a) providing a lithographic printing plate precursor comprising a support having a hydrophilic surface or which is provided with a hydrophilic layer, and a coating provided thereon, said coating comprising (i) a contiguous photopolymerisable layer having a photopolymerisable composition, or (ii) a contiguous intermediate layer and thereon a photopolymerisable layer having a photopolymerisable composition, wherein said photopolymerisable composition comprises a polymerisable compound, a polymerization initiator and a first polymer, b) image-wise exposing said coating, c) optionally, heating the precursor, d) developing the precursor by treating the coating of the precursor with a gum solution or by mounting the exposed precursor on a plate cylinder of a lithographic printing press and rotating the plate cylinder while feeding dampening liquid and/or ink to the coating, wherein said contiguous photopolymerisable or intermediate layer further comprises an adhesion promoting compound which is a non-polymeric compound containing a group having an ethylenically unsaturated bond and a group selected from a phosphate group, a phosphonate group and a trialkoxysilane group, and a second polymer having at least 1 mol % of a first monomeric unit having a phosphate group, a phosphonate group, a carboxylic acid group, a sulphonic acid group, a phenolic group, a trialkoxysilane group, an ammonium group or a phosphonium group and at least 30 mol % of a second monomeric unit having a hydrophilic group, wherein the amount of said adhesion promoting compound is higher than the amount of said second polymer, with the proviso that, if the contiguous layer is the photopolymerisable layer, the amount of said second polymer in the photopolymerisable layer is at least 0.01 % by weight and less than 5 % by weight. a) providing a lithographic printing plate precursor comprising a support having a hydrophilic surface or which is provided with a hydrophilic layer, and a coating provided thereon, said coating comprising (i) a contiguous photopolymerisable layer having a photopolymerisable composition, or (ii) a contiguous intermediate layer and thereon a photopolymerisable layer having a photopolymerisable composition, wherein said photopolymerisable composition comprises a polymerisable compound, a polymerization initiator and a first polymer, b) image-wise exposing said coating, c) optionally, heating the precursor, d) developing the precursor by treating the coating of the precursor with a gum solution or by mounting the exposed precursor on a plate cylinder of a lithographic printing press and rotating the plate cylinder while feeding dampening liquid and/or ink to the coating, wherein said contiguous photopolymerisable or intermediate layer further comprises an adhesion promoting compound which is a non-polymeric compound containing a group having an ethylenically unsaturated bond and a group selected from a phosphate group, a phosphonate group and a trialkoxysilane group, and a second polymer having at least 1 mol % of a first monomeric unit having a phosphate group, a phosphonate group, a carboxylic acid group, a sulphonic acid group, a phenolic group, a trialkoxysilane group, an ammonium group or a phosphonium group and at least 30 mol % of a second monomeric unit having a hydrophilic group, wherein the amount of said adhesion promoting compound is higher than the amount of said second polymer, with the proviso that, if the contiguous layer is the photopolymerisable layer, the amount of said second polymer in the photopolymerisable layer is at least 0.01 % by weight and less than 5 % by weight.