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Officers believe they have stolen items from sports and outdoor clothing stores in Touchwood and Mell Square since Christmas.
The woman is believed to regularly dye her hair, Solihull Police said.
A statement said: “They tend to target high value jackets and are 'quick hit' operators who often spend less than a minute in the shop before grabbing items and fleeing.”
They are also wanted in connection with thefts from stores in Birmingham and Worcester.
PC Claire Butler said: "He's always been spotted well dressed, whereas she's carried out thefts both dressed smartly and wearing jeans and a top.
"Some of our local retailers have been hit hard by this pair and naturally we're keen to identify them, and arrest them, as soon as possible."
The man is described as white, 6ft with short mousy brown hair with bags under his eyes.
She described as 5ft 5ins with blonde shoulder length hair.
Contact Solihull Police on 0345 113 5000 or Crimestoppers on 0800 555111.
