Previous research has demonstrated differences in the acoustic features of crying signals between deaf and typical hearing (TH) infants. This study aims at comparing the acoustic parameters of cries of infants with different degrees of deafness versus TH infants. About 110 infants aged 6–12 months (61 TH infants, 34 infants with bilateral deafness of variable degrees and 15 infants with unilateral deafness) were enrolled in the study. Results indicated that the most important acoustic parameters to demonstrate the difference between the crying of TH infants and deaf and hard-of-hearing (DHH) infants as well as between the crying of infants with different degrees of deafness are F0, cry duration, intensity, F2, and F4. In terms of accuracy, the parameter that showed the highest accuracy to differentiate between TH infants and DHH infants was F0 (74.5%). The accuracy of the combined acoustic parameters (F0, cry duration, intensity, and F4) was 70%. F0 was considered the best predictor and F4 the second best predictor of severity of deafness.