We report an increase in superconducting temperature of magnesium diboride (MgB2) by minute single-wall carbon nanotubes (SWCNT) inclusions. The SWCNTs concentration was varied from 0.1 wt% to 1.0wt%. The temperature dependence resistivity of sintered MgB2- SWCNTs composites containing 0.1 wt%, 0.5wt% and 1.0wt% were measured and compared with that of the pure MgB2. The superconducting critical temperature (Tc) of the MgB2 increased from 40 K to as high as 42.4 K for the MgB 2 containing 0.5wt% of SWCNTs. The room temperature resistivity ratio (RRR) shows dependence on the sample composition. The temperature width (ΔT) decreases with increasing SWCNT content from 0.1 wt% to 1.0wt%. The normal state resistivity data were fitted with the generalized Block-Griineisen function obtaining a Debye temperature of ∼ 900K.