Common consumer RGB cameras use a single image sensor to capture RGB color images with a color filter array (CFA) placed in front of the image sensor. This system captures particularly one color sample ( <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$R$</tex-math></inline-formula> , <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$G$</tex-math></inline-formula> , or <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$B$</tex-math></inline-formula> ) at each pixel location. This captured raw image is called a CFA image. The CFA demosaicking is used then to construct the complete color image. A similar approach of working with a single image sensor and extension of CFA to multispectral filter array (MSFA) enables us to develop a low-cost multispectral camera with the help of MSFA demosaicking. However, due to many spectral bands and their very sparse sampling, extending CFA demosaicking to MSFA demosaicking is not easy. This paper proposes an adaptive and progressive MSFA demosaicking method for various MSFA patterns for 5 to 15 bands multispectral images. Binary tree-based MSFA patterns are used to create MSFA images, and these MSFA patterns can be designed for any N-band MSFA image. The spectral bands are arranged specifically so that the middle band has the highest probability of appearance (PoA) in the MSFA pattern. The middle band is interpolated first using PoA based progressive adaptive interpolation, and the modified bilinear spectral difference method is used to estimate all other spectral bands with the interpolated middle band’s help. Experimental results and comparative analysis on two different datasets reveal that our proposed MSFA demosaicking method outperforms the existing generic MSFA demosaicking methods in terms of computational time and various image quality metrics considered.