Two Qassam rockets were fired into Israel from Gaza Wednesday morning, as militants apparently stepped up attempts to scupper Middle East peace talks.
One rocket exploded in an open area in the industrial zone just south of Ashkelon. There were no injuries or property damage.
Authorities are still attempting to locate the landing site of the second rocket.
Later Wednesday, two mortar bombs also hit open ground in the Eshkol area near the Gaza Strip, the Israel Defense Forces confirmed.
Prime Minister Benjamin Netanyahu and Palestinian President Mahmoud Abbas met Tuesday a continuation of peace talks which began earlier this month. The leaders were due to meet again in Jerusalem on Wednesday.
Hamas militants, who control the Gaza strip, have condemned the talks and early this month timed a pair of Wet Bank shooting attacks to coincide with the opening of negotiations in Washington, killing four and wounding two.
Last week, a mortar shell fired from Gaza exploded between two day care centers in southern Israel and a Qassam rocket landed in the Negev desert.
Late Thursday, Israeli aircraft struck two sites in Gaza in retaliation for earlier rocket and mortar fire from the territory. Hamas officials and Palestinian residents reported that four sites were hit.
Rocket and mortar fire from Gaza were a near-daily event for years before Israel launched a two-week war in Gaza in the winter of 2008-9. Attacks and border clashes continue, but on a much-reduced scale.