The NUJ vote was 61% in favour of stoppages, while backing among Bectu members was 56%.
The National Union of Journalists (NUJ) has held an emergency meeting at Media Wales.
The NUJ said some police officers wrongly believed they had the right to delete photographers' images.
The latest industrial action follows a one-day strike by NUJ members on 18 February which affected programmes.
Members of the National Union of Journalists (NUJ) and technical union Bectu voted in favour of the walkouts.
The latest action follows a 24-hour strike by NUJ members on 18 February.
He argued that the NUJ code carried no legal force, and claimed there was no current and immediate threat to life.
Members of the Nationals Union of Journalists(NUJ) and Bectu union walked out at midday on Thursday, ahead of the Easter bank holiday.
It is understood that the NUJ's Scottish organiser Paul Holleran is now planning to approach the inquiry, BBC management and Wark Clements.
Both unions were also in favour of action short of a strike, with 80% of NUJ members and 81% of Bectu's supporting it.
Peter Murray, part of the NUJ's executive committee, told MSPs that morale was at an all time low with employees fearful to speak out.
The NUJ said the BBC was planning around 30 compulsory redundancies, affecting areas including BBC Scotland, the Asian Network, the World Service and English regions.
Elgan Hearn, from the NUJ in north Wales, said the announcement was a "slap in the face to already overstretched news teams in the region".
BBC: Trinity Mirror job cuts: Newspapers could go says union
Members of the NUJ union are to be balloted for strike action on the same day the newspapers print their final editions - 1 October.
Those sentiments were echoed by Michelle Stanistreet, general secretary of the NUJ, who accused the BBC of deciding "not to properly engage" with its members' concerns.
Most redundancies are expected to come as a result of natural wastage and a freeze on recruitment, but the NUJ said 30 compulsory redundancies were being disputed.
"Slashing journalistic jobs and cutting programmes is a terrible assault on a much-loved institution that provides a lifeline to listeners around the world, " said Michelle Stanistreet, NUJ general secretary.
Meic Birtwhiste from the NUJ also called for Chief Executive of Trinity Mirror Sly Bailey to be held accountable and urged the committee to take evidence from the company.
Most of the 2, 000 redundancies are expected to be as a result of natural wastage and a freeze on recruitment, but the NUJ said 30 compulsory redundancies were being disputed.
Thirty compulsory redundancies are being disputed, the NUJ said.
Media Wales' chief reporter Martin Shipton, who is also the local NUJ representative, said the changes would threaten to remove much of the papers' Welsh content in favour of more generic features.
Martin Shipton from the NUJ expressed his fears that Trinity Mirror, a UK newspaper publisher that has ownership of Media Wales is "seeking to sell the Western Mail as a weekly newspaper".
The NUJ said the company was seeking a reduction in the staffing level of 17 journalists across the titles but because of existing vacancies, that meant a reduction of 10 from the current level.
The Nigerian Minister of Information, Mr. Labaran Maku, the President of the Nigeria Union of Journalists (NUJ), Mallam Graba, the Ambassador of the United States of America to Federal Republic of Nigeria, Mr Terence P.
UNESCO: Detailview | United Nations Educational, Scientific and Cultural Organization
Media internships seem to be especially exploitative: an NUJ survey last year found that eight out of ten interns had not been paid for work they had published, and a fifth said they had worked for more than three months under such terms.
The debate was attended by nearly 100 participants, and speakers including Jeremy Dear (NUJ), Nicholas Jones (previous BBC correspondent), Charlie Beckett (Director of POLIS), John Kelly (Reuters Institute Visiting Fellow, Washington Post) and Ashley Norris, (Co-founder and Director of Shiny Media), providing compelling statements drawn from a wealth and range of professional experience.
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