Using Schauder's fixed point theorem, we study the existence of positive periodic solutions for second order non-autonomous singular coupled systems

where

*a*_{i},

*e*_{i}∈

*L*^{1}(

**R**/

*T***Z**,

**R**),

*f*_{i}∈Car(

**R**/

*T***Z**×(0,∞),

**R**), that is,

*f*_{i}|

_{[0,T]}:[0,T]×(0,∞)→

**R** are

*L*^{1}-Carathéodory functions(

*i*=1, 2), and

*f*_{1},

*f*_{2} may be singular at

*y*=0, x=

*0*, respectively. The existence of positive periodic solutions for the singular coupled systems are obtained under the conditions that the signs of integral disturbance terms are positive, or negative, or different.