We present optical observations of a nearby Type Ia supernova (SN Ia) 2018kp on January 24 2018, +1.4 days after the estimated first light time. Its host galaxy, NGC 3367, has been under high-cadence monitoring (≲1 day) with the purpose of providing valuable early light curves of supernovae as a primary target of the Intensive Monitoring Survey of Nearby Galaxies (IMSNG; Im et al. 2019). SN 2018kp exhibits the characteristics of a normal SN Ia, with a peak luminosity of MB = −19.0 ± 0.4 mag and Δm15(B) = 1.19 ± 0.03 mag, derived from our long-term light curve analysis. We estimate the host extinction to be high [E(B − V )host = 0.697 ± 0.028 mag], contrasting with its sibling, SN 1986A. We estimate the mass of 56Ni synthesized in the explosion to beMNi = 0.55±0.14M⊙. A single power-law model (tα) describes the rising behavior of the early light curve well, with little evidence of the shock-heated cooling emission. We place upper limits on the radii of the progenitor (Rp ≤ 1.8 R⊙) and the companion star (Rc ≤ 1.9 R⊙ at the optimal or Rc ≤ 19.2 R⊙ at the common viewing angle, respectively) ruling out a large companion such as a red giant. Based on our data, we derive a distance to the host galaxy of 41.38 ± 2.20 Mpc assuming that SN 2018kp follows the Phillips relation.