In this paper, we have provided more insights on the relationship between under five morbidity in Nigeria and some background characteristics using a Poisson regression model and the most recent 2018 NDHS data on Acute Respiratory Infection (ARI), diarrhoea and fever. Some of our results are that children 36-47 months old have the highest risk of ARI [OR=1.45; CI (1.31,1.60)] while children less than 6 months old have the lowest risk of ARI [OR=0.14; CI (0.11,0.17)]. The prevalence of diarrhoea is generally high among children under 48-59 months old but highest among children 6-11 months old [OR=4.34; CI (3.69,5.09)]. Compared to children 48-59 months old, children in all other age categories except 24-34 months old have a high risk of fever [OR=0.95; CI (0.73,1.24)]. ARI is more prevalent among female children [OR=8.88; CI (8.02,9.82)] while diarrhoea [OR=21.75; (19.10,24.76)] and fever [OR=4.78; CI (4.31,5.32)] are more prevalent among male children. Children in urban areas are more likely to suffer ARI [OR=9.49; CI (8.31,10.85)] while children in rural areas are more likely to suffer both diarrhoea [OR=21.75; CI (19.10,24.76)] and fever [OR=4.90; CI (4.26,5.63)]. Children in the South-South have the highest risk of ARI [OR=4.03; CI (3.65,4.454)] while children in the North Central have the lowest risk of ARI [OR=1.55; CI (1.38,1.74)] and highest risk of diarrhoea [OR=3.34; CI (2.30,5.11)]. Children in the Northeast have the highest risk of fever [OR=1.30; CI (1.14,1.48)]. In the Northcentral region, Kogi state has the highest prevalence of fever [OR=2.27; CI (1.62,3.17)], while Benue state has the lowest [OR=0.35; CI (0.20,0.60)]. Children in Abuja state face similar risks of fever and diarrhoea [OR=0.84; CI (0.55,1.27)], with the risk of diarrhoea in Abuja being comparable to that in Plateau state [OR=1.57; CI (0.92,2.70)]. Nasarawa state records the highest incidence of diarrhoea in the Northcentral [OR=5.12; CI (3.03,8.65)], whereas Kogi state reports the lowest [OR=0.29; CI (0.16,0.53)]. In the Northeast, Borno state has the highest rate of fever [OR=3.28; CI (2.80,3.84)], and Bauchi state the lowest [OR=0.38; CI (0.29,0.50)]. In Adamawa state, the risks of fever and diarrhoea are nearly equivalent [OR=1.17; CI (0.97,1.41)], and the risk of fever there is similar to that in Taraba state [OR=0.92; CI (0.75,1.12)]. Diarrhoea is most prevalent in Yobe state [OR=3.17; CI (2.37,4.23)] and least prevalent in Borno state [OR=0.26; CI (0.20,0.33)]. In the Northwest, the risk of fever is similarly high in Zamfara and Kebbi states [OR=1.04; CI (0.93,1.17)], with Kastina state showing the lowest risk [OR=0.39; CI (0.34,0.46)]. Children in Zamfara state experience notably different risks of fever and diarrhoea [OR=0.07; CI (0.05,0.10)]. Kaduna state reports the highest incidence of diarrhoea [OR=21.88; CI (15.54,30.82)], while Kano state has the lowest [OR=2.50; CI (1.73,3.63)]. In the Southeast, Imo state leads in fever incidence [OR=8.20; CI (5.61,11.98)], while Anambra state has the lowest [OR=0.40; CI (0.21,0.78)]. In Abia state, the risk of fever is comparable to that in Enugu state [OR=1.03; CI (0.63,1.71)], but the risks of fever and diarrhoea in Abia differ significantly [OR=2.67; CI (1.75,4.06)]. Abia state also has the highest diarrhoea rate in the Southeast [OR=2.67; CI (1.75,4.06)], with Ebonyi state having the lowest [OR=0.05; CI (0.03,0.09)]. In the South-South region, Bayelsa and Edo states have similar risks of fever [OR=1.28; CI (0.84,1.95)], with Akwa Ibom state reporting the highest fever rate [OR=4.62; CI (3.27,6.52)] and Delta state the lowest [OR=0.08; CI (0.02,0.25)]. Children in Bayelsa state face distinctly different risks of fever and diarrhoea [OR=0.56; CI (0.34,0.95)]. Rivers state shows the highest incidence of diarrhoea in the South-South [OR=10.50; CI (4.78,23.06)], while Akwa Ibom state has the lowest [OR=0.30; CI (0.15,0.57)]. In the Southwest, Lagos and Osun states have similar risks of fever [OR=1.00; CI (0.59,1.69)], with Ogun state experiencing the highest incidence [OR=3.47; CI (2.28,5.28)] and Oyo state the lowest [OR=0.18; CI (0.07,0.46)]. In Lagos state, the risks of fever and diarrhoea are comparable [OR=0.96; CI (0.57,1.64)], and the risk of diarrhoea is similar to those in Ekiti, Ogun, and Ondo states. Oyo state has the highest diarrhoea rate in the Southwest [OR=10.99; CI (3.81,31.67)], with Ogun state reporting the lowest [OR=0.77; CI (0.42,1.42)]. Children of mothers with more than secondary education are significantly less likely to suffer ARI [OR=0.35; CI (0.29,0.42)], whereas children of mothers without any education run a higher risk of diarrhoea [OR=2.12; CI (1.89,2.38)] and fever [OR=2.61; CI (2.34,2.91)]. Our analysis also indicated that household wealth quintile is a significant determinant of morbidity. The results in this paper could help the government and non-governmental agencies to focus and target intervention programs for ARI, diarrhoea and fever on the most vulnerable and risky under five groups and populations in Nigeria.