For the first time we predict the conditions of superparaelectric phase appearance in the ensemble of non-interacting spherical ferroelectric nanoparticles. The superparaelectricity in nanoparticle was defined by analogy with superparamagnetism, obtained earlier in small nanoparticles made of paramagnetic material.Calculations of correlation radius, energetic barriers of polarization reorientation and polarization response to external electric field, performed within Landau-Ginzburg phenomenological approach for perovskites Pb(Zr,Ti)O 3 , BiFeO 3 and uniaxial ferroelectrics rochelle salt and triglycine sulfate, proved that under the favorable conditions ensemble of their noninteracting nanoparticles possesses the following characteristic features. Namely:(1) When the particle radius R is less than the correlation radius R c , but higher than the critical radius R cr of size-driven ferroelectric-paraelectric phase transition, all dipole moments inside the particle are aligned due to the correlation effects.(2) Potential barrier ∆F(T,R) of polarization reorientation can be smaller than thermal activation energy at temperatures T higher than the freezing temperature T f (R) depending the particle radius R. Freezing temperature T f (R) can be estimated from the condition ∆F(T,R) = γk B T. Such determination is somehow voluntary, since the rigorous value of T f (R) depends on numerical factor γ before k B T, which depends on the system characteristics.(3) Langevin-like law for polarization dependence on external field is obtained at temperatures higher than the freezing temperature T f (R), but lower than the temperature T cr (R) of size-driven ferroelectric-paraelectric phase transition.(4) Ferroelectric hysteresis loop and remnant polarization appear at temperatures T lower than the freezing temperature T f (R). This behaviour can be named as frozen superparaelectric phase.The conditions (1)-(4) determine the superparaelectric phase appearance in the ensemble of ferroelectric nanoparticles of radius R cr < R < R c at temperatures T f (R) < T < T cr (R). The favorable conditions for the superparaelectricity observation in small ferroelectric nanoparticles * Corresponding author: morozo@i.com.ua; permanent address: V. Lashkarev Institute of Semiconductor Physics, NAS of Ukraine, 41, pr. Nauki, 03028 Kiev, Ukraine 1 at room temperatures are small Curie-Weiss constants and high nonlinear coefficients as follows from the condition (2). The theoretical forecast is waiting for experimental revealing.