Noncontact manipulation of particles suspended in water has been studied using action of acoustic radiation pressure. A standing wave field in an unconfined vessel was used but the sound field was not necessarily resonant. When alumina suspension was poured into the sound field, particles were trapped and formed agglomeration. Changing the frequency continuously, the agglomerated particles were transported along the sound beam axis corresponding to the changes of wavelength. Selecting an appropriate frequency increment, they were transported in the opposite direction at different positions. Using a line-focused transducer with a back electrode divided into strips, it was possible to transport the particles perpendicular to the sound beam axis. A combination of these techniques realized two-dimensional manipulation without contact. Generation of acoustic streaming from the transducer to the reflector was observed even in the standing wave field due to nonuniformity of the sound field. To suppress this phenomenon for the stable manipulation, use of a tone-burst wave was proposed, noting the differences in the characteristic time between the streaming and trapping; the former is much longer than the latter and it is possible to keep the effective trapping force unchanged while suppressing the generation of streaming.