Raja and Sharan took one hour 23 minutes to register the win on their fourth match point at the Olympic tennis School Tennis Complex.
The Indian pair led 6-2 in the Super Tiebreak before the Israelis clawed their way back.
Despite serving two double faults and missing three match points, Raja and Sharan played some fine tennis in the end to wrap up the match.
The Indian pair will take on Russian pair of Mikhail Elgin and Teymuraz Gabashvili in the doubles finals tomorrow. The Russians scored a 6-3 5-7 10-4 win over James Cerretani of USA and Adil Shamasdin of Canada in the other semifinals.