The magnitude of the CKM matrix element |Vub| is determined by measuring the inclusive charmless semileptonic branching fraction of beauty hadrons at OPAL based on b → Xuℓν event topology and kinematics. This analysis uses OPAL data collected between 1991 and 1995, which correspond to about four million hadronic Z decays. Br( b → Xuℓν) is measured to be . The first uncertainty is the statistical error and the second is the systematic error. From this analysis, |Vub| is determined to be: &vbm0;Vub&vbm0;=&parl0; 4.00±0.65stat +0.67-0.76 sys±0.19 HQE&parr0;×10-3 . The last error represents the theoretical uncertainties related to the extraction of |Vub| from Br(b → Xuℓν) using the Heavy Quark Expansion. |