Code of Criminal Procedure

Article 19.08. Organization Of The Grand Jury — Qualifications

No person shall be selected or serve as a grand juror who does not possess the following qualifications:

1. The person must be a citizen of the state, and of the county in which the person is to serve, and be qualified under the Constitution and laws to vote in said county, provided that the person's failure to register to vote shall not be held to disqualify the person in this instance;
2. The person must be of sound mind and good moral character;
3. The person must be able to read and write;
4. The person must not have been convicted of misdemeanor theft or a felony;
5. The person must not be under indictment or other legal accusation for misdemeanor theft or a felony;
6. The person must not be related within the third degree of consanguinity or second degree of affinity, as determined under Chapter 573, Government Code, to any person selected to serve or serving on the same grand jury;
7. The person must not have served as grand juror or jury commissioner in the year before the date on which the term of court for which the person has been selected as grand juror begins;
8. The person must not be a complainant in any matter to be heard by the grand jury during the term of court for which the person has been selected as a grand juror.

http://www.statutes.legis.state.tx.us/Docs/CR/htm/CR.19.htm#19.08

Code of Criminal Procedure

Article 35.16. Formation Of The Jury — Reasons For Challenge For Cause

(a) A challenge for cause is an objection made to a particular juror, alleging some fact which renders the juror incapable or unfit to serve on the jury. A challenge for cause may be made by either the state or the defense for any one of the following reasons:

1. That the juror is not a qualified voter in the state and county under the Constitution and laws of the state; provided, however, the failure to register to vote shall not be a disqualification;
2. That the juror has been convicted of misdemeanor theft or a felony;
3. That the juror is under indictment or other legal accusation for misdemeanor theft or a felony;

http://www.statutes.legis.state.tx.us/Docs/CR/htm/CR.35.htm#35.16

Code of Criminal Procedure

Article 35.19. Formation Of The Jury — Absolute Disqualification

No juror shall be impaneled when it appears that he is subject to the second, third or fourth cause of challenge in Article 35.16, though both parties may consent.

http://www.statutes.legis.state.tx.us/Docs/CR/htm/CR.35.htm#35.19

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Other Note(s):

The second cause in Art. 35.16 is "That the juror has been convicted of misdemeanor theft or a felony"