A method of direct determination of all tho minimal pr-ime implicant covers of switching functions has been presented in the paper. It has been shown that some of the difficulties encountered in finding directly all the minimal prime implicant covers ofthe function for which the columns ofthe cover table cannot be arranged in a single connected cover term matrix or in a number of connected cover term matrices with mutually disjoint sets of prime implicants can be overcome by first dividing the cover table into a number of sub-tables such that the columns of one of the Bub-tables can be arranged to form a connected cover term matrix by ignoring the presence ofsome ofthe prime implicantsfrom some ofits columns. Next by associating the different irredundant covers of the other sub-tables with this connected cover term matrix, all the minimal prime implicant covers of the function can be found out.