Unite represents 88 out of 212 Centrepoint employees. Of those staff, 20 voted in the ballot, with 11 in favour of strike action on 10, 11 and 30 November.
Unite originally balloted staff over strike action in September. At that time, the majority of respondents voted in favour, but Centrepoint successfully won an injunction against the strike. The charity said the ballot had not been properly conducted, forcing a reballot that was conducted last week.
Unite said it did not know how many employees would go on strike. The union said 14 staff faced redundancy and 100 were in line for pay cuts.
Centrepoint has said it needs to cut pay and reduce its workforce after losing government contracts and that pay cuts will be capped at 10 per cent. However, Unite claims some people might be in line for larger cuts.
In response to the ballot result, Seyi Obakin, chief executive of Centrepoint, said: "We regret the need to restructure, but it is necessary to continue the long-term existence of Centrepoint. We have fully cooperated with Unite throughout the process of consultation."