Background: Some neonates are assessed for the risk of atypical psychomotor development at birth and are referred for reflex locomotion therapy using the Vojta method. Aim: The aim of this study was to analyze the relationships between spontaneous motor activity (SMA), ideal movement patterns (IMPs), central coordination disorders (CCDs), vital signs at birth, involuntary reflexes, and postural asymmetry in infants. Methods: This study involved 90 female and 107 male subjects in the age interval of 1–16 months (4.15 ± 2.18). Their psychomotor development was assessed using the Vojta method. Age-appropriate involuntary reflexes were evaluated, and both parameters were correlated with perinatal risk factors. Results: Males scored significantly higher than females (difference of −0.7, p = 0.022) in the SMA test. In both genders, SMA (p < 0.001 in both genders) and IMP scores improved significantly with age. In male infants, higher CCD scores were associated with significantly lower SMA and IMP scores (p = 0.017 and p < 0.001, respectively). Significantly higher CCD scores were noted in female subjects with the Moro reflex and postural asymmetry (p = 0.003 and p = 0.002, respectively). In males, the Moro reflex was significantly correlated with the Vojta reaction (p = 0.012) and the Collis vertical suspension reflex (p < 0.001). Conclusions: Vital signs at birth, including birth weight, Apgar score, and type of delivery, can predict motor development disorders but do not clearly differentiate infants that require neurodevelopmental therapy.