An ironing pad having a relatively flexible laminate structure including among its layers an integrally formed, independent layer supporting hollow core units which are disposed adjacent to one another and being received in an individual pocket formed in overlying layers of a closed-sided envelope, and in which hollow core is formed of a plurality of contiguous adjacent open-cell cavities which provide a heat barrier in addition to a layer of relatively high-compressive strength for supporting the weight of steam or flat iron pressing of fabric materials. The pad assembly may include three separate hollow core heat barrier units in hinged relationship with one another to provide a relatively shortened lengthwise dimension to the entire assembly when the end units are folded.