He was the son of Elisário Eduardo da Mota Veiga, a Licentiatein Law from the Faculty of Law of the University of Coimbra and a lawyer, and wife Antónia Martins ; paternal grandson of Amândio Eduardo da Mota Veiga, also a lawyer from the same Faculty and University, from an old Family of his region, and wife Ana Augusta da Assunção, and maternal grandson of Francisco Nunes and wife Maria Cândida Martins.
He married in Lisbon at the Patriarchal Chapel on 7 December 1946, to Maria Emília da Gama Caeiro, daughter of Francisco José Caeiro and wife Deolinda de Sousa de Lima Ferreira da Gama; they had five children:
Maria Eugénia Caeiro da Mota Veiga, married to António Pedro de Gouveia Themudo de Castro, son of Vicente Themudo de Castro and wife Maria Luísa Folque Pereira de Gouveia, of remote Catalan descent, and had issue, three sons:
* Vicente da Mota Veiga Themudo de Castro, married in Estoril, Santo António do Estoril, 18 June 2005 to Rita Oram de Menezes Soares and Rita Maria Montez Oram Soares, and had issue, one son:
** Pedro de Menezes Soares Themudo de Castro
* Ricardo da Mota Veiga Themudo de Castro
* Francisco da Mota Veiga Themudo de Castro
Ana Cristina da Gama Caeiro da Mota Veiga, married firstly in Évora, São Bento do Mato, on 27 July 1972 and later divorced Marcelo Nuno Duarte Rebelo de Sousa, and had issue, two children, and married secondly to Jorge Manuel Vassalo Sors Lagrifa, son of António Faias Sors Lagrifa and wife Maria da Luz Pereira Monteiro Vassalo e Silva, and maternal grandson of Manuel António Vassalo e Silva and wife Fernanda Pereira e Silva Monteiro, without issue
António José Caeiro da Mota Veiga, married in Sintra on 31 October 1974 to Maria José Trigueiros de Aragão Acciaioli de Avilez, youngest of the only three daughters of José Maria de Avilez Juzarte de Sousa Tavares, 7th Count of Avilez, Representative of Viscount of a Torre do Terrenho, of the Viscounts of Reguengo, and wife Ana Maria de Portugal Lobo Trigueiros de Aragão, of the Counts of Idanha-a-Nova and Viscounts of o Outeiro, and had issue, four children:
* Marta Acciaioli de Avilez da Mota Veiga, married firstly in Muge, Salvaterra, on 31 October 1998 and later divorced to João Manuel da Silva Barran de Assis Cabeleira, an Economist, son of Vítor Manuel de Assis Cabeleira and wife Pilar da Silva Barran, of french people descent, and had issue, two daughters and one son
* Maria Madalena Acciaioli de Avillez da Mota Veiga
* Filipa Acciaioli de Avillez da Mota Veiga, has a daughter by Rui Sebastião Neves Madaleno, a Lawyer, son of Luís Carlos Pereira Madaleno and wife Maria Onélia Vicente Neves
* António Maria Acciaioli de Avillez da Mota Veiga
Francisco José Caeiro da Mota Veiga, married firstly as her first husband and divorced to Maria da Graça dos Santos Dias da Silva, daughter of Carlos Calderón Dias da Silva, of Spanish descent, and wife Maria Helena Pinto Rodrigues dos Santos, without issue, married secondly to Italian Constanza Rochetti, without issue, and married thirdly in Nelas, Canas de Senhorim, on 7 September 2002 to Maria da Conceição Alves Amaral, and had issue, one daughter:
* Leonor Amaral da Mota Veiga
Manuel Eduardo Caeiro da Mota Veiga, married on 11 December 1993 to Dona Júlia de Castilho dos Santos Silva de Castro, daughter of Dom Fernão Gil de Castro, son of the 2nd Count of Nova Goa, of remote Catalan and Italian descent, and wife Maria Adelaide de Castilho dos Santos Silva, of the Barons of Santos and the Barons of Ferreira dos Santos, of remote French and English descent, and had issue, two children:
