Method for compensating a measurement error related to a measurement of a desired measuring point at an object to be measured with a coordinate measuring machine comprising a touch probe (1,35), the method comprising • providing a three dimensional reference body of known shape and dimension at a known position in a measuring volume of the coordinate measuring machine, • defining multiple reference points to be measured at the reference body, • touching the reference body with the touch probe (1,35) in defined touching directions (11,12), the touching directions being the directions directly assigned to the touch probe itself, according to the multiple reference points and thereby determining positions for the multiple reference points, and • deriving a lobing error information for the touch probe (1,35) based on the known shape and dimensions of the reference body and the determined positions of the reference points, the lobing error information providing error values related to respective touching directions (11,12) for the touch probe, characterised by • touching the object according to at least two different measuring points at the surface, wherein desired dimensions of the surface are pre-known, • determining expected positional coordinates (20',20") for the touched points according to respective measuring directions (24',24"), the measuring directions being the moving directions of the touch probe relative to the object's surface, • deriving a best-fit function based on the pre-known dimensions of the surface and on the determined expected positional coordinates (20',20"), the best-fit function representing the surface of the object, • calculating real contact points (21',21") for the at least two different measuring points based on the best-fit function and a pre-known shape and dimension of a probe tip of the touch probe and • compensating a measurement of the measuring points at the object to be measured performed with the touch probe (1,35) by means of □ assigning corresponding touching directions (11,12) to the measuring directions (24',24 "), the measuring directions (24',24") being defined by a direction of approaching the object according to the real contact points (21',21") with the touch probe (1,35), and □ considering the error values related to the assigned touching directions (11,12). • providing a three dimensional reference body of known shape and dimension at a known position in a measuring volume of the coordinate measuring machine, • defining multiple reference points to be measured at the reference body, • touching the reference body with the touch probe (1,35) in defined touching directions (11,12), the touching directions being the directions directly assigned to the touch probe itself, according to the multiple reference points and thereby determining positions for the multiple reference points, and • deriving a lobing error information for the touch probe (1,35) based on the known shape and dimensions of the reference body and the determined positions of the reference points, the lobing error information providing error values related to respective touching directions (11,12) for the touch probe, • touching the object according to at least two different measuring points at the surface, wherein desired dimensions of the surface are pre-known, • determining expected positional coordinates (20',20") for the touched points according to respective measuring directions (24',24"), the measuring directions being the moving directions of the touch probe relative to the object's surface, • deriving a best-fit function based on the pre-known dimensions of the surface and on the determined expected positional coordinates (20',20"), the best-fit function representing the surface of the object, • calculating real contact points (21',21") for the at least two different measuring points based on the best-fit function and a pre-known shape and dimension of a probe tip of the touch probe and • compensating a measurement of the measuring points at the object to be measured performed with the touch probe (1,35) by means of □ assigning corresponding touching directions (11,12) to the measuring directions (24',24 "), the measuring directions (24',24") being defined by a direction of approaching the object according to the real contact points (21',21") with the touch probe (1,35), and □ considering the error values related to the assigned touching directions (11,12). □ assigning corresponding touching directions (11,12) to the measuring directions (24',24 "), the measuring directions (24',24") being defined by a direction of approaching the object according to the real contact points (21',21") with the touch probe (1,35), and □ considering the error values related to the assigned touching directions (11,12).