If Tµ=(T1,...,Tn) is a vector of random lifetimes then its distribution can be determined by a set λ of multivariate conditional hazard rates. In this paper, sufficient conditions on λ are found which imply that Tµ is Block-Savits MIFRA (multivariate increasing failure rate average) or Savits MIFR (multivariate increasing failure rate). Applications for a multivariate reliability model of Ross and for load-sharing models are given. The relationship between Shaked and Shanthikumar model of multivariate imperfect repair and the MIFRA property is also discussed.