The Scottish Government is giving tickets to veterans as part of the Legacy Ticket scheme which aims to secure a legacy for communities and provide an opportunity for people to go to the Games.
Mr Brown said: "This is an opportunity for us to say a big thank you to veterans who have served with honour and distinction for their country. The tickets will be allocated to 200 brave men and women who might not have otherwise had access to Commonwealth Games events.
"Glasgow 2014 will be an incredible sporting spectacle which will put our country on the international map, it is only right that ex-service personnel should be given the chance to be a part of this momentous event."
Mr Brown made the announcement at the Scottish Veterans Residences (SVR) facility in Dundee, which provides accommodation and support to around 200 ex-servicemen and women and their spouses.
Phil Cox, chief executive of SVR said: "The Scottish Veterans Residences supports all UK veterans including those from Commonwealth countries who served in HM Forces.
"I'm sure that our residents will relish the opportunity to enjoy the spectacle and atmosphere of the Commonwealth Games in Glasgow and this gift of tickets is very much appreciated."
Veterans Scotland, the membership organisation for charities with an interest in supporting ex-service personnel, will allocate the tickets to veterans who have made a significant contribution to the veterans' community.
Tickets will be available for boxing, rugby sevens, triathlon, lawn bowls and athletics events as well as the closing ceremony.
Veterans Scotland general secretary Jim Wilson said: "The offer of these tickets marks the acknowledgement of the personal sacrifices veterans from across the Commonwealth have made during their service in the armed forces.
"Most veterans foster a keen interest and participate in a variety of sporting activities whilst serving, in order to remain fit for operational duties. It is with thanks these tickets are accepted on behalf of the veterans' community in Scotland."