While Roman blind fabrics should always be handled with care, they can be kept clean and dust-free by using a vacuum cleaner with an upholstery attachment. Simply lower the blind fully and carefully brush the surface of the fabric from top to bottom, taking special care around pleats and folds as dust can be more likely to settle there.
If your Roman blind fabric is embroidered or quilted like the design pictured here, using a microfiber cloth or feather duster will help ensure that none of the pattern comes loose as you clean. Be sure not to miss the bottom or side edges of your blind when cleaning as contact with the window sill and frame can make these areas prone to collecting dust and fluff.