Please refer to section 152 of Companies Act 2013. I hope sub section (d) will help you to know the retirement of director. I am also supposing that your company is public limited company. In case it is private then compulsory retirement is not applicable (own understanding, please refer to expert before using it)
(6) (a) Unless the articles provide for the retirement of all directors at every annual general meeting, not less than two-thirds of the total number of directors of a public company
shall—
(i) be persons whose period of office is liable to determination by retirement of directors by rotation; and
(ii) save as otherwise expressly provided in this Act, be appointed by the company in general meeting.
personal views : it means that unless the article provide retirement of all the directors atleast 2/3 number of directors of a public company shall be persons whose period of office is liable to determination by retirement of directors by rotation.
(b) The remaining directors in the case of any such company shall, in default of, and
subject to any regulations in the articles of the company, also be appointed by the company
in general meeting.
(c) At the first annual general meeting of a public company held next after the date of
the general meeting at which the first directors are appointed in accordance with clauses (a)
and (b) and at every subsequent annual general meeting, one-third of such of the directors
for the time being as are liable to retire by rotation, or if their number is neither three nor a
multiple of three, then, the number nearest to one-third, shall retire from office.
(d) The directors to retire by rotation at every annual general meeting shall be those
who have been longest in office since their last appointment, but as between persons who became directors on the same day, those who are to retire shall, in default of and subject to any agreement among themselves, be determined by lot.
Explanation.—For the purposes of this sub-section, “total number of directors” shall
not include independent directors, whether appointed under this Act or any other law for the
time being in force, on the Board of a company.
I have prepared a slideshare regarding directors. please visit my profile and click on slide share button in CA Club India.
Regards
Dipendra Prasad Poudel