We apply linear Regge trajectory and relatived quark model to revisit the low-lying excited singly-heavy mesons and explain the narrow mass splitting of these excited states to arise mainly from relativistic effect of the light quarks. The P-wave masses of the singly heavy mesons (
D,
D_s 
,
B,
B_s 
) with spin-parity
J^ + 
(
J = 0 
,
1 
,
2 
) have been computed, suggesting the unseen states of the mesons
B and
B_s 
to be the
0^ + 
state with mass 5 659 and 5 788 MeV, respectively. Our calculations show that
D_s\text0\left( \text2\;317 \right) 
contains a mass downshift of around 70 MeV while
D_s\text1\left( \text2\;460 \right) 
has no significant mass shift.