Selective laser melting (SLM) as an advanced additive manufacturing technology has drawn high attention from high-value aircraft and aerospace industries. Due to repeat heating-cooling phenomenon in the SLM process, the residual stresses are formed. The residual stresses can lead to geometric distortion, built-in cracking or premature failure of parts subjected to alternating loading or corrosive environments. The objective of this work is to fabricate Al250C aluminum alloy samples using the SLM technology with different building directions, as well as to measure the residual stresses through hole drilling method (HDM). The printed samples are characterized by the strong texture and anisotropy. For improving the reliability of the residual stress analysis, these factors are accounted for in the present work. Through the measurement results, it can be found that the building direction has a significant influence on the residual stress profile in the samples. Also, it is found that the difference in stress values between anisotropic and isotropic parameters used for residual stress evaluation can be over 70 MPa.