A lamellar composition comprising: a) 1 to 70%, preferably 2 to 30% and more preferably 5 to 20% of a mixture of anionic surfactant comprising acylglutamate, acylglycinate, acyl isethionate and/or methylacyltaurate; amphoteric comprising amphoacetate and /or zwitterionic surfactants comprising cocoamidopropyl betaine and/or sulphobetaine; as well as optional nonionic and other surfactants; b) 0.1 to 20%, preferably 1 to 10% and more preferably 2 to 5 wt. % of a Csto C 14 fatty acid, such as caprylic, capric, lauric acid, myristic acid or mixtures thereof; c) 0.1 to 25%, preferably 1 to 15% and more preferably 2 to 10% of a moisturizing, conditioning agent, such as emulsion of petrolatum and/ or triglyceride oil; d) 0.01 to 5%, preferably 0.1 to 2% and more preferably 0.2 to 1% of a cationic deposition polymer (also may be referred to a cationic conditioning polymer) comprising guar hydroxypropyl trimonium chloride; e) 0.01 to 5%, preferably 0.05 to 2% or 0.1 to 1% of a hydrophobically or non-hydrophobically modified anionic cross linked polymer with the said polymer(s) having a viscosity of 2% solution, when measured at pH 6.35 and shear rate of 5s -1, in the range of 1 to 100 mPa.s (centipoise) more preferably 10 to 80 mPa.s (centipoise) and most preferably in the range of 20 to 60 mPa.s (centipoise); and wherein the slope of the viscosity shear rate curve is in the range of - 0.6 to -1.2, more preferably in the range of - 0.7 to - 1.1 and most preferably in the range of - 0.8 to - 1.0; f) 0.1 to 20% by wt. lamellar structurant; and wherein the cleansing formulation has level of nonionic emulsifiers of HLB 1.4-13, 0 to 0.4%, preferably 0 or 0.1 to 0.35%, preferably 0.3% or less or 0.25% or less, and 2.7% or less, preferably 2.5% or less and more preferably 2% or less of salt, especially sodium chloride,the composition being substantially free of sulfate-containing surfactant. a) 1 to 70%, preferably 2 to 30% and more preferably 5 to 20% of a mixture of anionic surfactant comprising acylglutamate, acylglycinate, acyl isethionate and/or methylacyltaurate; amphoteric comprising amphoacetate and /or zwitterionic surfactants comprising cocoamidopropyl betaine and/or sulphobetaine; as well as optional nonionic and other surfactants; b) 0.1 to 20%, preferably 1 to 10% and more preferably 2 to 5 wt. % of a Csto C 14 fatty acid, such as caprylic, capric, lauric acid, myristic acid or mixtures thereof; c) 0.1 to 25%, preferably 1 to 15% and more preferably 2 to 10% of a moisturizing, conditioning agent, such as emulsion of petrolatum and/ or triglyceride oil; d) 0.01 to 5%, preferably 0.1 to 2% and more preferably 0.2 to 1% of a cationic deposition polymer (also may be referred to a cationic conditioning polymer) comprising guar hydroxypropyl trimonium chloride; e) 0.01 to 5%, preferably 0.05 to 2% or 0.1 to 1% of a hydrophobically or non-hydrophobically modified anionic cross linked polymer with the said polymer(s) having a viscosity of 2% solution, when measured at pH 6.35 and shear rate of 5s -1, in the range of 1 to 100 mPa.s (centipoise) more preferably 10 to 80 mPa.s (centipoise) and most preferably in the range of 20 to 60 mPa.s (centipoise); and wherein the slope of the viscosity shear rate curve is in the range of - 0.6 to -1.2, more preferably in the range of - 0.7 to - 1.1 and most preferably in the range of - 0.8 to - 1.0; f) 0.1 to 20% by wt. lamellar structurant;