The invention relates to a multi-modulus frequency divider with an extended and continuous dividable frequency range, which comprises a multi-modulus frequency dividing circuit, a pulse generating circuit and a modulus signal generating circuit, wherein the multi-modulus frequency dividing circuit generates an output frequency according to an input frequency and a divisor, and a numerical range of the divisor can be divided into a plurality of numerical intervals; the pulse generating circuit is used for generating a pulse signal; the modulus signal generating circuit judges that the divisor belongs to which numerical interval and generates a judging result, and inputs the pulse signal generated by the pulse generating circuit into a specific frequency dividing unit in the multi-modulus frequency dividing circuit according to the judging result; and the pulse signal is used as one of references for the specific frequency dividing unit when outputting a modulus signal, so that the multi-modulus dividable frequency divider can correctly read the divisor.